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A067983 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+5), n>=0. 0

%I

%S 11,51,127,283,580,1138,2163,4021,7349,13255,23654,41844,73483,128247,

%T 222635,384707,662072,1135334,1940691,3307865,5623681,9538511,

%U 16144282,27271848,45987275,77419323,130137943

%N Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+5), n>=0.

%C Fifth diagonal of triangle A067979. Fifth column of triangle A067990.

%F a(n)= sum(L(k+1)*L(n+5-k), k=0..n) = (18*n+11)*F(n+1)+11*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

%F G.f.: (11+7*x)*(1+2*x)/(1-x-x^2)^2.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 15 2002

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Last modified May 6 06:53 EDT 2021. Contains 343580 sequences. (Running on oeis4.)