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A120054 Binomial(n+3,4)*4^4. +0
1
256, 1280, 3840, 8960, 17920, 32256, 53760, 84480, 126720, 183040, 256256, 349440, 465920, 609280, 783360, 992256, 1240320, 1532160, 1872640, 2266880, 2720256, 3238400, 3827200, 4492800, 5241600, 6080256, 7015680, 8055040, 9205760 (list; graph; listen)
OFFSET

1,1

COMMENT

Number of n permutations (n>=4) of 5 objects u, v, z, x, y with repetition allowed, containing n-4 u's. Example: if n=4 then n-4= zero (0) u, a(1)=256, if n=5 then n-4= one (1) u, a(2)= 1280, if n=6 then n-4= two (2) u, a(3)=3840, etc.

FORMULA

G.f.:256/(1-x)^5. a(n)=C(n+3,4)*4^4, n>=1

MAPLE

seq(binomial(n+3, 4)*4^4, n=1..36);

CROSSREFS

Cf. A035008, A008586, A038231.

Sequence in context: A045057 A135272 A045034 this_sequence A129539 A113877 A014711

Adjacent sequences: A120051 A120052 A120053 this_sequence A120055 A120056 A120057

KEYWORD

nonn

AUTHOR

Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 07 2008

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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