login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Expansion of e.g.f. cos(sinh(x)*sin(x)) in powers of x^4.
1

%I #13 Jul 24 2018 20:17:35

%S 1,-12,2128,-1586112,3134810368,-13146370501632,101503034352652288,

%T -1310949029247657295872,26429820982888342672703488,

%U -788858770066309331711165202432,33443475995623429145380539537031168

%N Expansion of e.g.f. cos(sinh(x)*sin(x)) in powers of x^4.

%H G. C. Greubel, <a href="/A009063/b009063.txt">Table of n, a(n) for n = 0..141</a>

%t With[{nmax = 120}, CoefficientList[Series[Cos[Sinh[x]*Sin[x]], {x, 0, nmax}], x]*Range[0, nmax]!][[1 ;; ;; 4]] (* _G. C. Greubel_, Jul 24 2018 *)

%o (PARI) x='x+O('x^50); v=Vec(serlaplace(cos(sinh(x)*sin(x)))); vector(#v\4,n,v[4*n-3]) \\ _G. C. Greubel_, Jul 24 2018

%K sign

%O 0,2

%A _R. H. Hardin_

%E Extended with signs by _Olivier GĂ©rard_, Mar 15 1997