A067987 - OEIS

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

%S 76,351,872,1943,3980,7808,14838,27581,50404,90905,162214,286944,

%T 503888,879387,1526560,2637787,4539472,7784224,13305786,22679065,

%U 38555996,65395261,110682602,186969408,315274900

%N Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+9), n>=0.

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

%F a(n)= sum(L(k+1)*L(n+9-k), k=0..n) = (123*n+76)*F(n+1)+76*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

%F G.f.: (76+47*x)*(1+2*x)/(1-x-x^2)^2.

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Feb 15 2002