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A024286 Expansion of e.g.f. log(1+sin(x)*x)/2 (even coefficients). 1
0, 1, -8, 183, -8852, 733685, -92907942, 16685025455, -4033626509768, 1263031247390697, -497267081169369290, 240429918597334607075, -140051748469197955343340, 96736260363763053291403613, -78176444639905678751886122222, 73077125090731363505146141810455 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..85

FORMULA

a(n) = (2n)! * [x^(2n)] log(1+sin(x)*x)/2.

MAPLE

a:= n-> coeff(series(ln(1+sin(x)*x)/2, x, 2*n+1), x, 2*n)*(2*n)!:

seq(a(n), n=0..20);  # Alois P. Heinz, Jun 03 2012

MATHEMATICA

Log[ 1+Sin[ x ]*x ]/2 (* Even Part *)

CROSSREFS

Cf. A009341.

Sequence in context: A203359 A294355 A180607 * A231795 A240319 A302913

Adjacent sequences:  A024283 A024284 A024285 * A024287 A024288 A024289

KEYWORD

sign

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs Mar 1997

STATUS

approved

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Last modified October 20 04:37 EDT 2018. Contains 316378 sequences. (Running on oeis4.)