📦 perl-math-numseq

M

• Math::NumSeq(3pm)number sequences✨
• Math::NumSeq::Abundant(3pm)abundant numbers, greater than sum of divisors✨
• Math::NumSeq::AlgebraicContinued(3pm)continued fraction expansion of algebraic numbers✨
• Math::NumSeq::All(3pm)all integers✨
• Math::NumSeq::AllDigits(3pm)digits of the integers✨
• Math::NumSeq::AllPrimeFactors(3pm)prime factors of the integers✨
• Math::NumSeq::AlmostPrimes(3pm)semiprimes and other fixed number of prime factors✨
• Math::NumSeq::AsciiSelf(3pm)sequence is its own ASCII digits✨
• Math::NumSeq::BalancedBinary(3pm)balanced 1,0 bits✨
• Math::NumSeq::Base::IterateIth(3pm)iterate by calling ith() successively✨
• Math::NumSeq::Base::IteratePred(3pm)iterate by searching with pred()✨
• Math::NumSeq::BaumSweet(3pm)Baum-Sweet sequence✨
• Math::NumSeq::Beastly(3pm)numbers containing digits "666"✨
• Math::NumSeq::Catalan(3pm)Catalan numbers (2n)! / (n!*(n+1)!)✨
• Math::NumSeq::CollatzSteps(3pm)steps in the "3n+1" problem✨
• Math::NumSeq::ConcatNumbers(3pm)concatenate digits of i, i+1✨
• Math::NumSeq::Cubes(3pm)cubes i**3✨
• Math::NumSeq::CullenNumbers(3pm)Cullen numbers i*2^i+1✨
• Math::NumSeq::DedekindPsiCumulative(3pm)cumulative Psi function✨
• Math::NumSeq::DedekindPsiSteps(3pm)psi function until 2^x*3^y✨
• Math::NumSeq::DeletablePrimes(3pm)primes on deleting a digit repeatedly✨
• Math::NumSeq::DigitCount(3pm)count of a given digit✨
• Math::NumSeq::DigitCountHigh(3pm)count of given high digits✨
• Math::NumSeq::DigitCountLow(3pm)count of given low digits✨
• Math::NumSeq::DigitLength(3pm)length in digits✨
• Math::NumSeq::DigitLengthCumulative(3pm)total length in digits of numbers 1 to i✨
• Math::NumSeq::DigitProduct(3pm)product of digits✨
• Math::NumSeq::DigitProductSteps(3pm)multiplicative persistence and digital root✨
• Math::NumSeq::DigitSum(3pm)sum of digits, possibly with powering✨
• Math::NumSeq::DigitSumModulo(3pm)digit sum taken modulo a given modulus✨
• Math::NumSeq::DivisorCount(3pm)how many divisors✨
• Math::NumSeq::DuffinianNumbers(3pm)no common factor with sum of divisors✨
• Math::NumSeq::Emirps(3pm)primes backwards and forwards✨
• Math::NumSeq::ErdosSelfridgeClass(3pm)Erdos-Selfridge classification of primes✨
• Math::NumSeq::Even(3pm)even integers✨
• Math::NumSeq::Expression(3pm)mathematical expression values✨
• Math::NumSeq::Factorials(3pm)factorials i! = 1*2*...*i✨
• Math::NumSeq::Fibbinary(3pm)without consecutive 1-bits✨
• Math::NumSeq::FibbinaryBitCount(3pm)number of bits in each fibbinary number✨
• Math::NumSeq::Fibonacci(3pm)Fibonacci numbers✨
• Math::NumSeq::FibonacciRepresentations(3pm)count of representations by sum of Fibonacci numbers✨
• Math::NumSeq::FibonacciWord(3pm)0/1 related to Fibonacci numbers✨
• Math::NumSeq::File(3pm)sequence read from a file✨
• Math::NumSeq::FractionDigits(3pm)the digits of a fraction p/q✨
• Math::NumSeq::GolayRudinShapiro(3pm)parity of adjacent 11 bit pairs✨
• Math::NumSeq::GolayRudinShapiroCumulative(3pm)cumulative Golay/RudinShapiro sequence✨
• Math::NumSeq::GoldbachCount(3pm)number of representations as sum of primes P+Q✨
• Math::NumSeq::GolombSequence(3pm)sequence is its own run lengths, 1 upwards✨
• Math::NumSeq::HafermanCarpet(3pm)bits of the Haferman carpet✨
• Math::NumSeq::HappyNumbers(3pm)reaching 1 under repeated sum of squares of digits✨
• Math::NumSeq::HappySteps(3pm)number of sum of squares of digits iterations to reach a repeat✨
• Math::NumSeq::HarshadNumbers(3pm)numbers divisible by sum of digits✨
• Math::NumSeq::HofstadterFigure(3pm)sequence excludes its own first differences✨
• Math::NumSeq::JugglerSteps(3pm)steps in the juggler sqrt sequence✨
• Math::NumSeq::KlarnerRado(3pm)Klarner-Rado sequences✨
• Math::NumSeq::Kolakoski(3pm)sequence of 1s and 2s its own run lengths✨
• Math::NumSeq::LemoineCount(3pm)number of representations as P+2*Q for primes P,Q✨
• Math::NumSeq::LiouvilleFunction(3pm)Liouville function sequence✨
• Math::NumSeq::LucasNumbers(3pm)Lucas numbers✨
• Math::NumSeq::LuckyNumbers(3pm)sieved out multiples by the sequence itself✨
• Math::NumSeq::MaxDigitCount(3pm)maximum count of a given digit in any radix✨
• Math::NumSeq::MephistoWaltz(3pm)Mephisto waltz sequence✨
• Math::NumSeq::MobiusFunction(3pm)Mobius function sequence✨
• Math::NumSeq::Modulo(3pm)remainders modulo of a given number✨
• Math::NumSeq::MoranNumbers(3pm)numbers divided by sum of digits giving a prime✨
• Math::NumSeq::Multiples(3pm)multiples of a given number✨
• Math::NumSeq::NumAronson(3pm)numerical version of Aronson's sequence✨
• Math::NumSeq::Odd(3pm)odd integers✨
• Math::NumSeq::OEIS(3pm)number sequence by OEIS A-number✨
• Math::NumSeq::OEIS::Catalogue(3pm)available A-numbers✨
• Math::NumSeq::OEIS::Catalogue::Plugin(3pm)pluggable catalogue extensions✨
• Math::NumSeq::Palindromes(3pm)palindrome numbers like 15351✨
• Math::NumSeq::Pell(3pm)Pell numbers✨
• Math::NumSeq::Perrin(3pm)Perrin sequence✨
• Math::NumSeq::PisanoPeriod(3pm)cycle length of Fibonacci numbers mod i✨
• Math::NumSeq::PisanoPeriodSteps(3pm)Fibonacci frequency and Leonardo logarithm✨
• Math::NumSeq::PolignacObstinate(3pm)odd integers not prime+2^k✨
• Math::NumSeq::Polygonal(3pm)polygonal numbers, triangular, square, pentagonal, etc✨
• Math::NumSeq::PowerFlip(3pm)prime exponent flip✨
• Math::NumSeq::Powerful(3pm)numbers with certain prime powers✨
• Math::NumSeq::PowerPart(3pm)largest square root etc divisor✨
• Math::NumSeq::PrimeFactorCount(3pm)how many prime factors✨
• Math::NumSeq::PrimeIndexOrder(3pm)order of primeness by primes at prime indexes✨
• Math::NumSeq::PrimeIndexPrimes(3pm)primes with prime number indexes✨
• Math::NumSeq::Primes(3pm)prime numbers✨
• Math::NumSeq::Primorials(3pm)primorials 2*3*...*p[i]✨
• Math::NumSeq::Pronic(3pm)pronic numbers✨
• Math::NumSeq::ProthNumbers(3pm)Proth number sequence✨
• Math::NumSeq::PythagoreanHypots(3pm)hypotenuses of Pythagorean triples✨
• Math::NumSeq::RadixConversion(3pm)radix conversion✨
• Math::NumSeq::RadixWithoutDigit(3pm)integers without a given digit✨
• Math::NumSeq::RepdigitAny(3pm)numbers which are a repdigit in any radix✨
• Math::NumSeq::RepdigitRadix(3pm)radix in which i is a repdigit✨
• Math::NumSeq::Repdigits(3pm)repdigits 11, 22, 33, etc✨
• Math::NumSeq::ReReplace(3pm)sequence of repeated replacements✨
• Math::NumSeq::ReRound(3pm)sequence from repeated rounding up✨
• Math::NumSeq::ReverseAdd(3pm)steps of the reverse-add algorithm✨
• Math::NumSeq::ReverseAddSteps(3pm)steps of the reverse-add algorithm to reach palindrome✨
• Math::NumSeq::Runs(3pm)runs of consecutive integers✨
• Math::NumSeq::SelfLengthCumulative(3pm)cumulative digit length of own values✨
• Math::NumSeq::SophieGermainPrimes(3pm)Sophie Germain primes p and 2*p+1 prime✨
• Math::NumSeq::SpiroFibonacci(3pm)recurrence around a square spiral✨
• Math::NumSeq::SqrtContinued(3pm)continued fraction expansion of a square root✨
• Math::NumSeq::SqrtContinuedPeriod(3pm)period of the continued fraction for sqrt(i)✨
• Math::NumSeq::SqrtDigits(3pm)the digits of a square root✨
• Math::NumSeq::SqrtEngel(3pm)Engel expansion of a square root✨
• Math::NumSeq::Squares(3pm)perfect squares✨
• Math::NumSeq::StarNumbers(3pm)star numbers 6*i*(i-1)+1✨
• Math::NumSeq::SternDiatomic(3pm)Stern's diatomic sequence✨
• Math::NumSeq::Tetrahedral(3pm)tetrahedral numbers i*(i+1)*(i+2)/6✨
• Math::NumSeq::Totient(3pm)Euler's totient function, count of coprimes✨
• Math::NumSeq::TotientCumulative(3pm)cumulative totients✨
• Math::NumSeq::TotientPerfect(3pm)sum of repeated totients is N itself✨
• Math::NumSeq::TotientSteps(3pm)count of repeated totients to reach 1✨
• Math::NumSeq::TotientStepsSum(3pm)sum of repeated totients to reach 1✨
• Math::NumSeq::Triangular(3pm)triangular numbers✨
• Math::NumSeq::Tribonacci(3pm)Tribonacci numbers✨
• Math::NumSeq::TwinPrimes(3pm)twin primes✨
• Math::NumSeq::UlamSequence(3pm)integers uniquely the sum of two previous terms✨
• Math::NumSeq::UndulatingNumbers(3pm)numbers with alternating digits ABABAB...✨
• Math::NumSeq::WoodallNumbers(3pm)Woodall numbers i*2^i-1✨
• Math::NumSeq::Xenodromes(3pm)integers with all digits unique✨