cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A217474 Sequence used for the formula for partial sums of odd powers of even-indexed Fibonacci numbers.

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%I A217474 #10 Dec 10 2016 21:45:29
%S A217474 -1,2,-14,278,-15016,2172632,-835765304,851104689248,
%T A217474 -2288258540319136,16212819419809777952,-302332135138133434911104,
%U A217474 14824259801049378686209605248,-1909922987705772492088576593195136,646210649409632730922299328304587407872
%N A217474 Sequence used for the formula for partial sums of odd powers of even-indexed Fibonacci numbers.
%C A217474 This is the sequence c(m) used in the formula of Ozeki and Prodinger (see the references in A217472) for sum(F(2*k)^(2*m+1),k=1..n), m>=0, m>=0, given in A217472.
%F A217474 a(n) = pL(n)*C(n), with pL(n)=A217473(n) and C(n) = (1/5^n)*sum((-1)^(j-1)*binomial(2*n+1,j)*F(2*(n-j)+1)/L(2*(n-j)+1),j=0..n), n>=0, with F=A000045 and L=A000032.
%e A217474 a(2) = (1*4*11)*(-(1/25)*F(5)/L(5) + (1/5)*F(3)/(3) - (2/5)*F(1)/L(1)) = (1*4*11)*(-7/22) = -14.
%K A217474 sign,easy
%O A217474 0,2
%A A217474 _Wolfdieter Lang_, Oct 12 2012