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A130563 Fourth column (m=3) of the Laguerre-Sonin a=1/2 coefficient triangle. +0
3
1, 36, 990, 25740, 675675, 18378360, 523783260, 15713497800, 496939367925, 16564645597500, 581419060472250, 21459648959248500, 831561397170879375, 33774185977401870000, 1435402904039579475000, 63731888939357328690000 (list; graph; listen)
OFFSET

3,2

FORMULA

a(n)=n!*(2^(n-3))*binomial(n+1/2,n-3)/3!,n>=3.

a(n)=binomial(n,3)*(2*n+1)!!/7!!, with (2*n+1)!! = A001147(n+1).

a(n)=-A130757(n,3), n>=3.

CROSSREFS

Columns m=0, 1, 2 from A001147, A000457, A001881.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)

Eighth right hand column of triangle A001498.

(End)

Sequence in context: A167250 A107398 A053111 this_sequence A025419 A000809 A151584

Adjacent sequences: A130560 A130561 A130562 this_sequence A130564 A130565 A130566

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jul 13 2007

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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