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A024343 Expansion of sin(x^2). +0
3
2, -120, 30240, -17297280, 17643225600, -28158588057600, 64764752532480000, -202843204931727360000, 830034394580628357120000, -4299578163927654889881600000, 27500101936481280675682713600000 (list; graph; listen)
OFFSET

0,1

COMMENT

Absolute values are coefficients of expansion of sinh(x^2).

FORMULA

(-1)^n * (4n+2)! / (2n+1)!.

E.g.f.: Sin[ x^2 ] (* [ x^(4n+2) ] *)

PROGRAM

(PARI) a(n)=polcoeff(serlaplace(sin(x^2)), 4*n+2)

(PARI) a(n)=(-1)^n*(4*n+2)!/(2*n+1)!

CROSSREFS

Bisection of A001813.

Adjacent sequences: A024340 A024341 A024342 this_sequence A024344 A024345 A024346

Sequence in context: A073785 A102355 A077540 this_sequence A100043 A100012 A042799

KEYWORD

sign

AUTHOR

R. H. Hardin (rhh(AT)cadence.com)

EXTENSIONS

Extended with signs Mar 15 1997 by Olivier Gerard.

Edited by Ralf Stephan, Mar 25 2004

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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