AngouriMath
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CatalanNumberf
Description
Summary
The Catalan number catalannumber(n) , C_n = binomial(2n, n) / (n + 1) : 1, 1, 2, 5,
14 fromn = 0 , the number of ways to bracket a product of n + 1 factors.
14 from
Remarks
Off the whole numbers it is 4^n Γ(n + 1/2) / (√π Γ(n + 2)) , as Mathematica's
CatalanNumber and SymPy's catalan are: -1/2 at -1 , 0 at
every whole number below it, and no value at a negative half-integer, a pole of Γ(n + 1/2).
https://github.com/asc-community/AngouriMath/issues/2182
every whole number below it, and no value at a negative half-integer, a pole of Γ(n + 1/2).
https://github.com/asc-community/AngouriMath/issues/2182
Members
Codomain
PropertyDefaultCodomain
PropertyFourToThePowerTimes(AngouriMath.Entity.Number.Complex,AngouriMath.Entity.Number.Complex)
MethodInitDirectChildren
MethodLargestIndex
FieldLatexizeNode
MethodNodeChild
PropertyReplace(System.Func{AngouriMath.Entity,AngouriMath.Entity})
MethodStringizeNode
MethodToString
Method
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