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A067985 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+7), n>=0. 0

%I

%S 29,134,333,742,1520,2982,5667,10534,19251,34720,61956,109596,192457,

%T 335878,583065,1007498,1733848,2973186,5082159,8662310,14726559,

%U 24977924,42275628,71413752,120420725

%N Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+7), n>=0.

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

%F a(n)= sum(L(k+1)*L(n+7-k), k=0..n) = (47*n+29)*F(n+1)+29*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

%F G.f.: (29+18*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 June 17 14:24 EDT 2021. Contains 345083 sequences. (Running on oeis4.)