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Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+8), n>=0.
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%I #4 Mar 31 2012 13:20:07

%S 47,217,539,1201,2460,4826,9171,17047,31153,56185,100258,177348,

%T 311431,543509,943495,1630289,2805624,4811038,8223627,14016755,

%U 23829437,40417337,68406974,115555656,194854175

%N Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+8), n>=0.

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

%F a(n)= sum(L(k+1)*L(n+8-k), k=0..n) = (76*n+47)*F(n+1)+47*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

%F G.f.: (47+29*x)*(1+2*x)/(1-x-x^2)^2.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 15 2002