A215519 n-th derivative of cosh(x)^sinh(x) at x=0.

1, 0, 0, 3, 0, 0, 90, 63, 0, 6240, 22680, 49203, 376200, 7076160, 60540480, -57346377, 39312000, 49503504960, 276296898240, -2899764389277, -3278565763200, 767149465779840, 3023234606367360, -114504064046714097, -92501888140886400, 30154180723807140000

Offset

0,4

Links

Table of n, a(n) for n=0..25.

Formula

E.g.f.: cosh(x)^sinh(x).

Maple

a:= n-> n!* coeff(series(cosh(x)^sinh(x), x, n+1), x, n):
seq (a(n), n=0..25);  # Alois P. Heinz, Aug 14 2012

Mathematica

f[x_] := Cosh[x]^Sinh[x]; Table[Derivative[n][f][0], {n, 25}]

Prog

(Sage)
@CachedFunction
def b(n) : return cosh(x)^sinh(x) if n == 0 else diff(b(n-1), x)
def a(n) : return b(n).subs(x=0)
[a(n) for n in (0..20)]  # Peter Luschny, Aug 15 2012

Crossrefs

Cf. A215679.

Sequence in context: A101192 A228622 A037288 * A215679 A160537 A215516

Adjacent sequences: A215516 A215517 A215518 * A215520 A215521 A215522

Keyword

sign

Author

Michel Lagneau, Aug 14 2012

Status

approved