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A067984 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+6), n>=0. 0

%I #4 Mar 31 2012 13:20:07

%S 18,83,206,459,940,1844,3504,6513,11902,21465,38302,67752,118974,

%T 207631,360430,622791,1071776,1837852,3141468,5354445,9102878,

%U 15439413,26131346,44141904,74433450,125306699

%N Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+6), n>=0.

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

%F a(n)= sum(L(k+1)*L(n+6-k), k=0..n) = (29*n+18)*F(n+1)+18*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

%F G.f.: (18+11*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 April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)