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A053136 Binomial coefficients C(2n+7,7). +0
3
1, 36, 330, 1716, 6435, 19448, 50388, 116280, 245157, 480700, 888030, 1560780, 2629575, 4272048, 6724520, 10295472, 15380937, 22481940, 32224114, 45379620, 62891499, 85900584, 115775100, 154143080, 202927725, 264385836, 341149446 (list; graph; listen)
OFFSET

0,2

COMMENT

Even indexed members of eighth column of Pascal's triangle A007318.

Number of standard tableaux of shape (2n+1,1^7) - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004

LINKS

Milan Janjic, Two Enumerative Functions

FORMULA

a(n)= binomial(2*n+7, 7)= A000580(2*n+7). G.f.(1+28*x+70*x^2+28*x^3+x^4)/(1-x)^8.

CROSSREFS

Cf. A053135, A000580, A053129.

Sequence in context: A014800 A067473 A068075 this_sequence A000821 A071232 A135828

Adjacent sequences: A053133 A053134 A053135 this_sequence A053137 A053138 A053139

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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