A009042 Expansion of x*cos(sin(x)), odd terms only.

1, -3, 25, -259, 4113, -89859, 2452905, -82466115, 3364642465, -162289204995, 9080010901689, -582825476943747, 42497355011746225, -3485070555315399171, 318706043315086782281, -32281156967340604488131

Offset

0,2

Links

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

Mathematica

With[{nmax = 62}, CoefficientList[Series[x*Cos[Sin[x]], {x, 0, nmax}], x]*Range[0, nmax - 1]!][[2 ;; ;; 2]] (* G. C. Greubel, Jul 23 2018 *)

Prog

(PARI) x='x+O('x^60); v=Vec(serlaplace(x*cos(sin(x)))); vector((#v-1)\2 , n, v[2*n-1]) \\ G. C. Greubel, Jul 23 2018

Crossrefs

Sequence in context: A006091 A357232 A355865 * A080896 A126746 A118989

Adjacent sequences: A009039 A009040 A009041 * A009043 A009044 A009045

Keyword

sign

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved