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.

A054449 Row sums of triangle A054448 (second member of partial row sums triangle family of Fibonacci convolution triangle).

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%I A054449 #4 Mar 31 2012 13:20:01
%S A054449 1,4,14,46,144,436,1287,3724,10603,29788,82748,227658,621122,1682252,
%T A054449 4526845,12111512,32237253,85407188,225318042,592141478,1550688932,
%U A054449 4047787844,10534503523,27340763556,70777265551,182785072876
%N A054449 Row sums of triangle A054448 (second member of partial row sums triangle family of Fibonacci convolution triangle).
%F A054449 a(n)= sum(A054448(n, m), m=0..n)= ((2*n^2+17*n+32)*P(n+1)+13*(n+1)*P(n))/32, P(n)= A000129(n) (Pell numbers).
%F A054449 G.f.: ((Pell(x))^3)/(Fib(x))^2, with Pell(x)= 1/(1-2*x-x^2) = g.f. A000129(n+1) (Pell numbers without 0) and Fib(x)=1/(1-x-x^2) = g.f. A000045(n+1) (Fibonacci numbers without 0).
%Y A054449 Cf. A000129, A000045, A054448.
%K A054449 easy,nonn
%O A054449 0,2
%A A054449 _Wolfdieter Lang_, Apr 27 2000