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A009489 Expansion of sin(sinh(tan(x))). 1
1, 2, 8, -344, -44416, -5130368, -688030080, -109875416832, -20650894622720, -4460981432725504, -1069938200055119872, -268541150093198032896, -60666450534816002965504, -3605301387144067469213696 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Robert Israel, Table of n, a(n) for n = 0..234

FORMULA

sin(sinh(tan(x))) = Sum_{n>=0} a(n)*x^(2*n+1)/(2*n+1)!. - Robert Israel, Nov 23 2016

MAPLE

S:= series(sin(sinh(tan(x))), x, 51):

seq(coeff(S, x, j)*j!, j=1..49, 2); # Robert Israel, Nov 23 2016

MATHEMATICA

Sin[ Sinh[ Tan[ x ] ] ] (* Odd Part *)

Take[Table[n!*SeriesCoefficient[Sin[Sinh[Tan[x]]], {x, 0, n}], {n, 0, 15}], {2, -1, 2}] (* G. C. Greubel, Nov 23 2016 *)

CROSSREFS

Sequence in context: A009707 A013176 A220904 * A102597 A009836 A012342

Adjacent sequences:  A009486 A009487 A009488 * A009490 A009491 A009492

KEYWORD

sign

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

STATUS

approved

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Last modified May 18 14:41 EDT 2022. Contains 353816 sequences. (Running on oeis4.)