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

11, 51, 127, 283, 580, 1138, 2163, 4021, 7349, 13255, 23654, 41844, 73483, 128247, 222635, 384707, 662072, 1135334, 1940691, 3307865, 5623681, 9538511, 16144282, 27271848, 45987275, 77419323, 130137943

Offset: 0

Author

Wolfdieter Lang, Feb 15 2002

Keywords

• nonn
• easy

Comments

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

Formula

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).

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