A215679 n-th derivative of sech(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

Comments

sech(x) = 1/cosh(x).

Links

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

Formula

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

Maple

a:= n-> n!* coeff(series(sech(x)^sinh(x), x, n+1), x, n):
seq (a(n), n=0..25);  # Alois P. Heinz, Aug 20 2012

Mathematica

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

Crossrefs

Cf. A215519.

Sequence in context: A228622 A037288 A215519 * A160537 A215516 A009133

Adjacent sequences: A215676 A215677 A215678 * A215680 A215681 A215682

Keyword

sign

Author

Michel Lagneau, Aug 20 2012

Status

approved