id:A132303 - OEIS Search Results

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Sum of cubes of trinomial coefficients: a(n) = Sum_{k=0..2n} trinomial(n,k)^3 where trinomial(n,k) = [x^k] (1 + x + x^2)^n.

+0
3

1, 3, 45, 831, 17181, 375903, 8530929, 198643455, 4714491357, 113550338127, 2767105469745, 68077260387315, 1688160321677025, 42142679453321307, 1058050429855640217, 26695057057648257231, 676431705046728704733 (list; graph; listen)

	OFFSET	`0,2`
	PROGRAM	`(PARI) a(n)=sum(k=0, 2*n, polcoeff((1+x+x^2)^n, k)^3)`
	CROSSREFS	`Cf. A132304, A132305.` `Sequence in context: A076140 A131568 A124487 this_sequence A008931 A036278 A012827` `Adjacent sequences: A132300 A132301 A132302 this_sequence A132304 A132305 A132306`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 18 2007`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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