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A096191 a(n) = Sum_{k=1..n} C(n,k)^3 where C(n,k) is binomial(n,k). 3
1, 9, 55, 345, 2251, 15183, 104959, 739161, 5280931, 38165259, 278415919, 2046924399, 15148345759, 112738423359, 843126957055, 6332299624281, 47737325577619, 361077477684435, 2739270870994735, 20836827035351595 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

FORMULA

a(n) ~ 2^(3*n+1) / (sqrt(3)*Pi*n). - Vaclav Kotesovec, Nov 27 2017

MATHEMATICA

Table[Sum[Binomial[n, k]^3, {k, n}], {n, 20}] (* Harvey P. Dale, Jul 19 2011 *)

CROSSREFS

Equals A000172(n) - 1.

Sequence in context: A356339 A183805 A037578 * A281454 A174711 A231857

Adjacent sequences: A096188 A096189 A096190 * A096192 A096193 A096194

KEYWORD

nonn

AUTHOR

Gerald McGarvey, Jul 25 2004

STATUS

approved

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Last modified December 2 12:34 EST 2022. Contains 358496 sequences. (Running on oeis4.)