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Combinatorics

Tutorials

  • Combinatorics

Guides

  • Combinatorics
  • Functions I understand in combinatorics

Tech Notes

  • Combinatorics
  • Stirling permutation

Symbols

  • CanonicalMultiset
  • CentralBinomialCoefficient
  • ConjugatePartition
  • DescendingSublists
  • DivisorHasseDiagram
  • DominatingIntegerPartitionQ
  • DurfeeSquare
  • EnumerateMultisetPartialDerangements
  • EulerianCatalanNumber
  • EulerianNumber
  • EulerianNumberOfTheSecondKind
  • FerrersDiagram
  • Fibbinary
  • FibonacciEncode
  • FindAscentElements
  • FindAscentPositions
  • FindDescentElements
  • FindDescentPositions
  • FrobeniusSymbolFromPartition
  • FromInversionVector
  • FromPartitionPlusNotation
  • FromPartitionSuperscriptNotation
  • GaussFactorial
  • GrayCode
  • HasseDiagram
  • HookLengths
  • HuffmanCodeWords
  • HuffmanDecode
  • HuffmanEncode
  • IntegerPartitionQ
  • InverseFibonacci
  • InverseGrayCode
  • InversionCount
  • InversionVectorQ
  • LehmerCodeFromPermutation
  • LucasNumberU1
  • LucasNumberV2
  • ModifiedCentralBinomialCoefficient
  • Multichoose
  • MultisetAssociation
  • MultisetPartialDerangements
  • NarayanaNumber
  • NextPermutation
  • NumberOfTableaux
  • OrderedTupleFromIndex
  • OrderedTupleIndex
  • OrderlessCombinations
  • OrderlessCombinationsOfUnmarkedElements
  • PartialOrderGraphQ
  • PartitionCrank
  • PartitionFromFrobeniusSymbol
  • PartitionPlusNotation
  • PartitionRank
  • PartitionSuperscriptNotation
  • PermutationCountByInversions
  • PermutationFromIndex
  • PermutationGraph
  • PermutationIndex
  • PermutationMajorIndex
  • PermutationToTableaux
  • Phitorial
  • PosetQ
  • PosetToTableau
  • Primorial
  • QExponential
  • QMultinomial
  • RandomYoungTableau
  • RationalNumberRepeatingDecimalPeriod
  • ReflexiveGraphQ
  • SecantNumber
  • SelectPermutations
  • SelectSubsets
  • SelectTuples
  • SelfConjugatePartitionQ
  • SignedLahNumber
  • StandardYoungTableaux
  • StirlingPermutationGraph
  • StirlingPermutations
  • StrictIntegerPartitions
  • SubsetFromIndex
  • SubsetIndex
  • TableauQ
  • TableauToPoset
  • TableauxToPermutation
  • TangentNumber
  • ToInversionVector
  • TransitiveGraphQ
  • TransposeTableau
  • TupleFromIndex
  • TupleIndex
  • UnsignedLahNumber
  • YoungDiagram
  • ZeckendorfRepresentation
PeterBurbery`Combinatorics`
TangentNumber
​
TangentNumber
[n]
calculates the
n
th tangent number.
​
Examples  
(1)
Basic Examples  
(1)
The first 21 tangent numbers:
In[1]:=
TangentNumber
[Range[21]]
Out[1]=
{1,2,16,272,7936,353792,22368256,1903757312,209865342976,29088885112832,4951498053124096,1015423886506852352,246921480190207983616,70251601603943959887872,23119184187809597841473536,8713962757125169296170811392,3729407703720529571097509625856,1798651693450888780071750349094912,970982810785059112379399707952152576,583203324917310043943191641625494290432,387635983772083031828014624002175135645696}
SeeAlso
SecantNumber
 
▪
EulerE
RelatedGuides
▪
Combinatorics
RelatedLinks
Wolfram MathWorld—Tangent number
▪
OEIS A000182—Tangent (or Zag) numbers: e.g.f. tan(x), also (up to signs) e.g.f. tanh(x).
""

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