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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 EXTENSIONS Extended with signs Mar 1997 STATUS approved

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Last modified October 23 17:32 EDT 2019. Contains 328373 sequences. (Running on oeis4.)