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Search: id:A009120
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A009120 (4n)!/(2n)!. +0
2
1, 12, 1680, 665280, 518918400, 670442572800, 1295295050649600, 3497296636753920000, 12576278705767096320000, 58102407620643984998400000, 335367096786357081410764800000 (list; graph; listen)
OFFSET

0,2

COMMENT

Expansion of cos(x^2).

FORMULA

Integral representation as n-th moment of a positive function on a positive half-axis, in Maple notation: a(n)=int((1/4)*exp(-1/4*sqrt(x))/(sqrt(Pi)*x^(3/4)), x=0..infinity), n=0, 1... - Karol A. Penson (penson(AT)lptl.jussieu.fr), Sep 19 2001

MATHEMATICA

Cos[ x^2 ] (* [ x^(4n) ] *)

CROSSREFS

Equals 4^n * A1002992(n).

Sequence in context: A015011 A034280 A146201 this_sequence A078928 A013717 A015485

Adjacent sequences: A009117 A009118 A009119 this_sequence A009121 A009122 A009123

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin (rhhardin(AT)att.net)

EXTENSIONS

Extended by Olivier Gerard, Mar 01, 1997

page 1

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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