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A009337 Expansion of e.g.f.: log(1+sin(x))/exp(x). 6
0, 1, -3, 7, -16, 40, -117, 411, -1720, 8384, -46561, 289595, -1991504, 14993108, -122595085, 1081616659, -10239597968, 103522029312, -1113074512289, 12681693805203, -152613117638712, 1934275341388596, -25753344727083773 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
This sequence starting with the 2nd term, unsigned, is the partial sums of A000667. - Gerald McGarvey, Aug 13 2004
LINKS
FORMULA
a(n) ~ (n-1)! * (-1)^(n+1) * exp(Pi/2) * 2^(n+1) / Pi^n. - Vaclav Kotesovec, Jan 23 2015
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Log[1+Sin[x]]/Exp[x], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 13 2012 *)
CROSSREFS
Cf. A000667.
Sequence in context: A001698 A261236 A029761 * A323776 A036567 A018023
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Extended with signs by Olivier Gérard, Mar 15 1997
Definition clarified by Harvey P. Dale, Aug 13 2012
STATUS
approved

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Last modified March 19 06:32 EDT 2024. Contains 370953 sequences. (Running on oeis4.)