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A132305 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. 2

%I #2 Mar 30 2012 18:37:04

%S 1,3,309,32847,4775301,764206503,131689759209,23857704965727,

%T 4487745064421061,869024373004460823,172218243516497425809,

%U 34778752398142969125627,7134304921516864247956281

%N 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.

%o (PARI) a(n)=sum(k=0,2*n,polcoeff((1+x+x^2)^n,k)^5)

%Y Cf. A132303, A132304.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 18 2007

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)