A009052 Expansion of e.g.f. cos(sin(x)^2), even terms only.

1, 0, -12, 240, -2352, -136320, 15140928, -971093760, 28387408128, 4688909905920, -1262963768650752, 191995869733662720, -17544464368915034112, -1212607904700871311360, 1171249187182930708021248

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..250

Mathematica

With[{nmax = 60}, CoefficientList[Series[Cos[Sin[x]^2], {x, 0, nmax}], x]*Range[0, nmax]!][[1 ;; -1 ;; 2]] (* G. C. Greubel, Jul 23 2018~ *)

Prog

(PARI) x='x+O('x^50); v=Vec(serlaplace(cos(sin(x)^2))); vector(#v\2, n, v[2*n-1]) \\ G. C. Greubel, Jul 23 2018

Crossrefs

Sequence in context: A189883 A033469 A012544 * A213449 A012303 A119837

Adjacent sequences: A009049 A009050 A009051 * A009053 A009054 A009055

Keyword

sign

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved