A067982 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+4), n>=0.

7, 32, 79, 176, 360, 706, 1341, 2492, 4553, 8210, 14648, 25908, 45491, 79384, 137795, 238084, 409704, 702518, 1200777, 2046580, 3479197, 5900902, 9987064, 16870056, 28446175, 47887376, 80493751, 135112472

Offset: 0

Author

Wolfdieter Lang, Feb 15 2002

Keywords

• nonn
• easy

Comments

Fourth diagonal of triangle A067979. Fourth column of triangle A067990.

Formula

a(n)= sum(L(k+1)*L(n+4-k), k=0..n) = (11*n+7)*F(n+1)+7*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (7+4*x)*(1+2*x)/(1-x-x^2)^2.