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A092043 Numerator of n!/n^2. +0
1
1, 1, 2, 3, 24, 20, 720, 630, 4480, 36288, 3628800, 3326400, 479001600, 444787200, 5811886080, 81729648000, 20922789888000, 19760412672000, 6402373705728000, 6082255020441600, 115852476579840000, 2322315553259520000 (list; graph; listen)
OFFSET

1,3

COMMENT

Numerator of expansion of dilog(x) = Li_2(x).

dilog(x) = a(n)/A014973(n)*x^k/n! = int(0, x, log(1-t)/t*dt).

LINKS

A. N. Kirillov, Dilogarithm identities

Eric Weisstein's World of Mathematics, Dilogarithm

PROGRAM

(PARI) a(n)=numerator(n!/n^2)

(PARI) a(n)=numerator(polcoeff(serlaplace(dilog(x)), n))

CROSSREFS

Denominator is in A014973. Cf. A001819.

Sequence in context: A061098 A119619 A099617 this_sequence A055067 A037319 A032811

Adjacent sequences: A092040 A092041 A092042 this_sequence A092044 A092045 A092046

KEYWORD

nonn,frac

AUTHOR

Ralf Stephan, Mar 28 2004

page 1

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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