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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
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: A362365 A183805 A037578 * A362088 A281454 A174711
KEYWORD
nonn
AUTHOR
Gerald McGarvey, Jul 25 2004
STATUS
approved

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Last modified March 19 02:51 EDT 2024. Contains 370952 sequences. (Running on oeis4.)