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A009332 Expansion of log(1+sin(x))*cos(x). 0
0, 1, -1, -2, 4, 0, -1, -16, 64, -256, 1319, -7680, 49204, -346112, 2653559, -22022144, 196707424, -1881735168, 19194804719, -207983607808, 2385684870724, -28880901505024, 367985503366799, -4922617151619072, 68980888889771104 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..24.

FORMULA

a(n) ~ (n-1)! * (-1)^n * 2^n / (n * Pi^(n-1)). - Vaclav Kotesovec, Jan 23 2015

MATHEMATICA

Log[ 1+Sin[ x ] ]*Cos[ x ]

CoefficientList[Series[Cos[x]*Log[1 + Sin[x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)

CROSSREFS

Sequence in context: A138133 A302937 A005657 * A333184 A045872 A154463

Adjacent sequences:  A009329 A009330 A009331 * A009333 A009334 A009335

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

STATUS

approved

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Last modified September 26 23:44 EDT 2022. Contains 357051 sequences. (Running on oeis4.)