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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
OFFSET
0,3
LINKS
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
KEYWORD
sign
AUTHOR
EXTENSIONS
Extended with signs Mar 1997
STATUS
approved