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A009328
Expansion of log(1+sin(sinh(x))).
0
0, 1, -1, 2, -6, 16, -72, 328, -1904, 12160, -89344, 721280, -6445824, 62638720, -660602880, 7495723264, -91175548928, 1182630301696, -16301080281088, 237887012458496, -3664597991424000, 59422015832915968
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OFFSET
0,4
LINKS
Table of n, a(n) for n=0..21.
FORMULA
a(n) ~ (n-1)! * 2 * (-1)^(n+1) / (log((Pi+sqrt(4+Pi^2))/2))^n. -
Vaclav Kotesovec
, Jan 23 2015
MATHEMATICA
Log[ 1+Sin[ Sinh[ x ] ] ]
CoefficientList[Series[Log[1 + Sin[Sinh[x]]], {x, 0, 20}], x] * Range[0, 20]! (*
Vaclav Kotesovec
, Jan 23 2015 *)
CROSSREFS
Sequence in context:
A009605
A009681
A009186
*
A009346
A009367
A114249
Adjacent sequences:
A009325
A009326
A009327
*
A009329
A009330
A009331
KEYWORD
sign
,
easy
AUTHOR
R. H. Hardin
EXTENSIONS
Extended with signs by
Olivier Gérard
, Mar 15 1997
STATUS
approved