id:A132305 - OEIS Search Results

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Sum of fifth powers of trinomial coefficients: a(n) = Sum_{k=0..2n} trinomial(n,k)^5 where trinomial(n,k) = [x^k] (1 + x + x^2)^n.

+0
3

1, 3, 309, 32847, 4775301, 764206503, 131689759209, 23857704965727, 4487745064421061, 869024373004460823, 172218243516497425809, 34778752398142969125627, 7134304921516864247956281 (list; graph; listen)

	OFFSET	`0,2`
	PROGRAM	`(PARI) a(n)=sum(k=0, 2*n, polcoeff((1+x+x^2)^n, k)^5)`
	CROSSREFS	`Cf. A132303, A132304.` `Adjacent sequences: A132302 A132303 A132304 this_sequence A132306 A132307 A132308` `Sequence in context: A071525 A085319 A123032 this_sequence A074327 A062333 A083974`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 18 2007`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

AT&T Labs Research