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A003722 E.g.f. sin(sinh(x)) (odd powers only).
(Formerly M4541)
4
1, 0, -8, -56, 64, 12672, 309376, 2917888, -163782656, -12716052480, -495644917760, -4004259037184, 1359174582304768, 153146435763437568, 9620207941273255936, 142966118908253962240, -62984506636368191946752 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

FORMULA

a(n) = sum(j=1..n+1, (sum(i=0..2*j-1, (-1)^(i+j-1)*(2*j-1-2*i)^(2*n+1)*binomial(2*j-1,i)))/(2^(2*j-1)*(2*j-1)!)); [Vladimir Kruchinin, Jun 09 2011]

MATHEMATICA

With[{nn = 50}, Take[CoefficientList[Series[Sin[Sinh[x]], {x, 0, nn}], x] Range[0, nn - 1]!, {2, -1, 2}]] (* Vincenzo Librandi, Apr 11 2014 *)

PROG

(Maxima)

a(n):=sum((sum((-1)^(i+j-1)*(2*j-1-2*i)^(2*n+1)*binomial(2*j-1, i), i, 0, 2*j-1))/(2^(2*j-1)*(2*j-1)!), j, 1, n+1); /* Vladimir Kruchinin, Jun 09 2011 */

CROSSREFS

Sequence in context: A264644 A144748 A160429 * A044146 A118772 A212817

Adjacent sequences:  A003719 A003720 A003721 * A003723 A003724 A003725

KEYWORD

sign

AUTHOR

R. H. Hardin, Simon Plouffe

STATUS

approved

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Last modified May 13 08:08 EDT 2021. Contains 343836 sequences. (Running on oeis4.)