A215514 n-th derivative of cosh(x)^x at x=0.

1, 0, 0, 3, 0, -10, 90, 112, -1680, 5112, 52920, -328504, -1255320, 23508784, 14510496, -1763573160, 4091068800, 159016114496, -879390741312, -16959317684096, 164322768835200, 2137075591340928, -32790836323453824, -310912999830134272, 7354887176447775360

Offset

0,4

Links

Table of n, a(n) for n=0..24.

Formula

a(n) = ((d/dx)^n cosh(x)^x)_{x=0}.

Maple

a:= n-> (D@@n)(x-> cosh(x)^x)(0):
seq (a(n), n=0..20);  # Alois P. Heinz, Aug 14 2012

Mathematica

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

Crossrefs

Sequence in context: A071983 A302693 A327881 * A215347 A186247 A215585

Adjacent sequences: A215511 A215512 A215513 * A215515 A215516 A215517

Keyword

sign

Author

Michel Lagneau, Aug 14 2012

Status

approved