| Math::NumSeq |
number sequences |
42 |
metacpan |
| Math::NumSeq::AbsCubicDiff |
|
42 |
metacpan |
| Math::NumSeq::Abundant |
abundant numbers, greater than sum of divisors |
42 |
metacpan |
| Math::NumSeq::All |
all integers |
42 |
metacpan |
| Math::NumSeq::AllDigits |
digits of the integers |
42 |
metacpan |
| Math::NumSeq::AllPrimeFactors |
prime factors of the integers |
42 |
metacpan |
| Math::NumSeq::AlmostPrimes |
semiprimes and other fixed number of prime factors |
42 |
metacpan |
| Math::NumSeq::AlphabeticalLength |
length of numbers written in words |
42 |
metacpan |
| Math::NumSeq::AlphabeticalLengthSteps |
iterations of length in characters |
42 |
metacpan |
| Math::NumSeq::AsciiSelf |
sequence is its own ASCII digits |
42 |
metacpan |
| Math::NumSeq::Base4Only01 |
|
42 |
metacpan |
| Math::NumSeq::Base4Without3 |
|
66 |
metacpan |
| Math::NumSeq::Base::Array |
|
42 |
metacpan |
| Math::NumSeq::Base::Digits |
|
42 |
metacpan |
| Math::NumSeq::Base::File |
|
42 |
metacpan |
| Math::NumSeq::Base::FileWriter |
|
42 |
metacpan |
| Math::NumSeq::Base::IterateIth |
|
42 |
metacpan |
| Math::NumSeq::Base::IteratePred |
|
42 |
metacpan |
| Math::NumSeq::Base::Sparse |
|
42 |
metacpan |
| Math::NumSeq::BaumSweet |
Baum-Sweet sequence |
42 |
metacpan |
| Math::NumSeq::Beastly |
numbers containing digits "666" |
42 |
metacpan |
| Math::NumSeq::BinaryUndulants |
|
42 |
metacpan |
| Math::NumSeq::CbrtContinued |
continued fraction expansion of a cube root |
42 |
metacpan |
| Math::NumSeq::ChampernowneBinary |
|
86 |
metacpan |
| Math::NumSeq::ChampernowneBinaryLsb |
|
86 |
metacpan |
| Math::NumSeq::CollatzSteps |
steps in the "3n+1" problem |
42 |
metacpan |
| Math::NumSeq::ConcatNumbers |
concatenate digits of i, i+1 |
42 |
metacpan |
| Math::NumSeq::Cubes |
cubes i**3 |
42 |
metacpan |
| Math::NumSeq::CullenNumbers |
Cullen numbers i*2^i+1 |
42 |
metacpan |
| Math::NumSeq::CunninghamChain |
|
42 |
metacpan |
| Math::NumSeq::CunninghamLength |
|
42 |
metacpan |
| Math::NumSeq::CunninghamPrimes |
|
42 |
metacpan |
| Math::NumSeq::DedekindPsiCumulative |
cumulative Psi function |
42 |
metacpan |
| Math::NumSeq::DedekindPsiSteps |
psi function until 2^x*3^y |
42 |
metacpan |
| Math::NumSeq::DeletablePrimes |
primes deleting a digit repeatedly |
42 |
metacpan |
| Math::NumSeq::Derived::Cumulative |
cumulative sum of a sequence |
42 |
metacpan |
| Math::NumSeq::DigitCount |
count of a given digit |
42 |
metacpan |
| Math::NumSeq::DigitCountHigh |
count of given high digits |
42 |
metacpan |
| Math::NumSeq::DigitCountLow |
count of given low digits |
42 |
metacpan |
| Math::NumSeq::DigitExtract |
one of the digits of integers 0 upwards |
42 |
metacpan |
| Math::NumSeq::DigitLength |
length in digits |
42 |
metacpan |
| Math::NumSeq::DigitLengthCumulative |
total length in digits of numbers 1 to i |
42 |
metacpan |
| Math::NumSeq::DigitProduct |
product of digits |
42 |
metacpan |
| Math::NumSeq::DigitProductSteps |
multiplicative persistence and digital root |
42 |
metacpan |
| Math::NumSeq::DigitSum |
sum of digits, possibly with powering |
42 |
metacpan |
| Math::NumSeq::DigitSumModulo |
digit sum taken modulo a given modulus |
42 |
metacpan |
| Math::NumSeq::DigitSumSquares |
sum of digits |
7 |
metacpan |
| Math::NumSeq::DivisorCount |
how many divisors |
42 |
metacpan |
| Math::NumSeq::Emirps |
primes backwards and forwards |
42 |
metacpan |
| Math::NumSeq::EratosthenesStage |
|
42 |
metacpan |
| Math::NumSeq::ErdosSelfridgeClass |
Erdos-Selfridge classification of primes |
42 |
metacpan |
| Math::NumSeq::Even |
even integers |
42 |
metacpan |
| Math::NumSeq::Expression |
mathematical expression values |
42 |
metacpan |
| Math::NumSeq::Factorials |
factorials i! = 1*2*...*i |
42 |
metacpan |
| Math::NumSeq::Fibbinary |
without consecutive 1 bits |
42 |
metacpan |
| Math::NumSeq::FibbinaryBitCount |
number of bits in each fibbinary number |
42 |
metacpan |
| Math::NumSeq::Fibonacci |
Fibonacci numbers |
42 |
metacpan |
| Math::NumSeq::FibonacciWord |
0/1 related to Fibonacci numbers |
42 |
metacpan |
| Math::NumSeq::File |
sequence read from a file |
42 |
metacpan |
| Math::NumSeq::FractionBits |
|
38 |
metacpan |
| Math::NumSeq::FractionDigits |
the digits of a fraction p/q |
42 |
metacpan |
| Math::NumSeq::GolayRudinShapiro |
parity of adjacent 11 bit pairs |
42 |
metacpan |
| Math::NumSeq::GolayRudinShapiroCumulative |
cumulative Golay/RudinShapiro sequence |
42 |
metacpan |
| Math::NumSeq::GoldbachCount |
number of representations as sum of primes P+Q |
42 |
metacpan |
| Math::NumSeq::GolombSequence |
sequence is its own run lengths, 1 upwards |
42 |
metacpan |
| Math::NumSeq::HappyNumbers |
reaching 1 under repeated sum of squares of digits |
42 |
metacpan |
| Math::NumSeq::HappySteps |
number of sum of squares of digits iterations to reach a repeat |
42 |
metacpan |
| Math::NumSeq::HarshadNumbers |
numbers divisible by sum of digits |
42 |
metacpan |
| Math::NumSeq::HofstadterFigure |
sequence excludes its own first differences |
42 |
metacpan |
| Math::NumSeq::HypotCount |
how many times as sum of two squares |
42 |
metacpan |
| Math::NumSeq::JugglerSteps |
steps in the juggler sqrt sequence |
42 |
metacpan |
| Math::NumSeq::KaprekarNumbers |
digits of square add to the original |
42 |
metacpan |
| Math::NumSeq::KaprekarRoutineSteps |
|
42 |
metacpan |
| Math::NumSeq::KlarnerRado |
Klarner-Rado sequences |
42 |
metacpan |
| Math::NumSeq::Kolakoski |
sequence of 1s and 2s its own run lengths |
42 |
metacpan |
| Math::NumSeq::KolakoskiMajority |
majority value in groups of Kolakoski sequence values |
42 |
metacpan |
| Math::NumSeq::LeastPrimitiveRoot |
smallest primitive root |
42 |
metacpan |
| Math::NumSeq::LemoineCount |
number of representations as P+2*Q for primes P,Q |
42 |
metacpan |
| Math::NumSeq::LiouvilleFunction |
Liouville function sequence |
42 |
metacpan |
| Math::NumSeq::LipschitzClass |
|
42 |
metacpan |
| Math::NumSeq::Ln2Bits |
|
42 |
metacpan |
| Math::NumSeq::Loeschian |
|
42 |
metacpan |
| Math::NumSeq::LongFractionPrimes |
primes for which fraction 1/p has a long period |
42 |
metacpan |
| Math::NumSeq::LucasNumbers |
Lucas numbers |
42 |
metacpan |
| Math::NumSeq::LuckyNumbers |
sieved out multiples by the sequence itself |
42 |
metacpan |
| Math::NumSeq::MaxDigitCount |
maximum count of a given digit in any radix |
42 |
metacpan |
| Math::NumSeq::MephistoWaltz |
Mephisto waltz sequence |
42 |
metacpan |
| Math::NumSeq::MobiusFunction |
Mobius function sequence |
42 |
metacpan |
| Math::NumSeq::Modulo |
remainders modulo of a given number |
42 |
metacpan |
| Math::NumSeq::MoranNumbers |
numbers divided by sum of digits giving a prime |
42 |
metacpan |
| Math::NumSeq::Multiples |
multiples of a given number |
42 |
metacpan |
| Math::NumSeq::NumAronson |
numerical version of Aronson's sequence |
42 |
metacpan |
| Math::NumSeq::OEIS |
number sequence by OEIS A-number |
42 |
metacpan |
| Math::NumSeq::OEIS::Catalogue |
available A-numbers |
42 |
metacpan |
| Math::NumSeq::OEIS::Catalogue::Plugin |
pluggable catalogue extensions |
42 |
metacpan |
| Math::NumSeq::OEIS::Catalogue::Plugin::BuiltinTable |
|
42 |
metacpan |
| Math::NumSeq::OEIS::Catalogue::Plugin::FractionDigits |
|
42 |
metacpan |
| Math::NumSeq::OEIS::Catalogue::Plugin::SqrtDigits |
|
42 |
metacpan |
| Math::NumSeq::OEIS::Catalogue::Plugin::ZZ_Files |
|
42 |
metacpan |
| Math::NumSeq::OEIS::File |
|
42 |
metacpan |
| Math::NumSeq::Odd |
odd integers |
42 |
metacpan |
| Math::NumSeq::Padovan |
Padovan sequence |
42 |
metacpan |
| Math::NumSeq::Palindromes |
palindrome numbers like 15351 |
42 |
metacpan |
| Math::NumSeq::Pell |
Pell numbers |
42 |
metacpan |
| Math::NumSeq::Pentagonal |
|
75 |
metacpan |
| Math::NumSeq::PentagonalGeneralized |
|
38 |
metacpan |
| Math::NumSeq::PentagonalSecond |
|
38 |
metacpan |
| Math::NumSeq::Perrin |
Perrin sequence |
42 |
metacpan |
| Math::NumSeq::PiBits |
|
42 |
metacpan |
| Math::NumSeq::PiDigits |
|
42 |
metacpan |
| Math::NumSeq::PierpontPrimes |
Pierpont primes |
42 |
metacpan |
| Math::NumSeq::PolignacObstinate |
odd integers not prime+2^k |
42 |
metacpan |
| Math::NumSeq::Polygonal |
polygonal numbers, triangular, square, pentagonal, etc |
42 |
metacpan |
| Math::NumSeq::PowerPart |
largest square root etc divisor |
42 |
metacpan |
| Math::NumSeq::PowerSieve |
sieved out powers |
42 |
metacpan |
| Math::NumSeq::Powerful |
numbers with certain prime powers |
42 |
metacpan |
| Math::NumSeq::PrimeFactorCount |
how many prime factors |
42 |
metacpan |
| Math::NumSeq::PrimeFactorExtract |
prime factor extracted from integers |
42 |
metacpan |
| Math::NumSeq::PrimeIndexOrder |
order of primeness by primes at prime indexes |
42 |
metacpan |
| Math::NumSeq::PrimeIndexPrimes |
primes with prime number indexes |
42 |
metacpan |
| Math::NumSeq::PrimeQuadraticEuler |
|
42 |
metacpan |
| Math::NumSeq::PrimeQuadraticHonaker |
|
42 |
metacpan |
| Math::NumSeq::PrimeQuadraticLegendre |
|
42 |
metacpan |
| Math::NumSeq::Primes |
prime numbers |
42 |
metacpan |
| Math::NumSeq::PrimesDigits |
digits of the primes |
42 |
metacpan |
| Math::NumSeq::Primorials |
primorials 2*3*...*p[i] |
42 |
metacpan |
| Math::NumSeq::Pronic |
pronic numbers |
42 |
metacpan |
| Math::NumSeq::ProthNumbers |
Proth number sequence |
42 |
metacpan |
| Math::NumSeq::PythagoreanHypots |
hypotenuses of Pythagorean triples |
42 |
metacpan |
| Math::NumSeq::RadixConversion |
radix conversion |
42 |
metacpan |
| Math::NumSeq::RadixWithoutDigit |
integers without a given digit |
42 |
metacpan |
| Math::NumSeq::ReReplace |
sequence of repeated replacements |
42 |
metacpan |
| Math::NumSeq::ReRound |
sequence from repeated rounding up |
42 |
metacpan |
| Math::NumSeq::RepdigitAny |
numbers which are a repdigit in any radix |
42 |
metacpan |
| Math::NumSeq::RepdigitRadix |
radix in which i is a repdigit |
42 |
metacpan |
| Math::NumSeq::Repdigits |
repdigits 11, 22, 33, etc |
42 |
metacpan |
| Math::NumSeq::ReplicateDigits |
|
42 |
metacpan |
| Math::NumSeq::ReverseAdd |
steps of the reverse-add algorithm |
42 |
metacpan |
| Math::NumSeq::ReverseAddSteps |
steps of the reverse-add algorithm to reach palindrome |
42 |
metacpan |
| Math::NumSeq::Runs |
runs of consecutive integers |
42 |
metacpan |
| Math::NumSeq::SafePrimes |
|
42 |
metacpan |
| Math::NumSeq::SelfLengthCumulative |
cumulative digit length of own values |
42 |
metacpan |
| Math::NumSeq::SemiPrimesOdd |
|
66 |
metacpan |
| Math::NumSeq::SlopingExcluded |
numbers not occurring in sloping binary |
42 |
metacpan |
| Math::NumSeq::SophieGermainPrimes |
Sophie Germain primes p and 2*p+1 prime |
42 |
metacpan |
| Math::NumSeq::Spectrum |
|
42 |
metacpan |
| Math::NumSeq::SpiroFibonacci |
recurrence around a square spiral |
42 |
metacpan |
| Math::NumSeq::SqrtContinued |
continued fraction expansion of a square root |
42 |
metacpan |
| Math::NumSeq::SqrtContinuedPeriod |
period of the continued fraction for sqrt(i) |
42 |
metacpan |
| Math::NumSeq::SqrtDigits |
the digits of a square root |
42 |
metacpan |
| Math::NumSeq::SqrtEngel |
Engel expansion of a square root |
42 |
metacpan |
| Math::NumSeq::SquareFree |
square free integers |
88 |
metacpan |
| Math::NumSeq::SquareFreeKernel |
divide out any square factor |
88 |
metacpan |
| Math::NumSeq::Squares |
perfect squares |
42 |
metacpan |
| Math::NumSeq::StarNumbers |
star numbers 6*i*(i-1)+1 |
42 |
metacpan |
| Math::NumSeq::SternDiatomic |
Stern's diatomic sequence |
42 |
metacpan |
| Math::NumSeq::StoehrSequence |
|
42 |
metacpan |
| Math::NumSeq::SumTwoSquares |
|
42 |
metacpan |
| Math::NumSeq::SumXsq3Ysq |
|
42 |
metacpan |
| Math::NumSeq::TernaryWithout2 |
|
66 |
metacpan |
| Math::NumSeq::Tetrahedral |
tetrahedral numbers i*(i+1)*(i+2)/6 |
42 |
metacpan |
| Math::NumSeq::ThueMorse |
|
38 |
metacpan |
| Math::NumSeq::ThueMorseEvil |
|
38 |
metacpan |
| Math::NumSeq::ThueMorseOdious |
|
38 |
metacpan |
| Math::NumSeq::Totient |
Euler's totient function, count of coprimes |
42 |
metacpan |
| Math::NumSeq::TotientCumulative |
cumulative totients |
42 |
metacpan |
| Math::NumSeq::TotientPerfect |
sum of repeated totients is N itself |
42 |
metacpan |
| Math::NumSeq::TotientSteps |
count of repeated totients to reach 1 |
42 |
metacpan |
| Math::NumSeq::TotientStepsSum |
sum of repeated totients to reach 1 |
42 |
metacpan |
| Math::NumSeq::Triangular |
triangular numbers |
42 |
metacpan |
| Math::NumSeq::Tribonacci |
Tribonacci numbers |
42 |
metacpan |
| Math::NumSeq::TwinPrimes |
twin primes |
42 |
metacpan |
| Math::NumSeq::UlamSequence |
integers uniquely the sum of two previous terms |
42 |
metacpan |
| Math::NumSeq::UndulatingNumbers |
numbers with alternating digits ABABAB... |
42 |
metacpan |
| Math::NumSeq::WoodallNumbers |
Woodall numbers i*2^i-1 |
42 |
metacpan |