A067430 Convolution of Fibonacci F(n+1), n>=0, with F(n+7), n>=0.

13, 34, 81, 170, 340, 654, 1227, 2258, 4095, 7340, 13032, 22956, 40169, 69890, 121005, 208606, 358268, 613242, 1046535, 1781170, 3024123, 5123104, 8661456, 14616600, 24624325, 41419234, 69568137, 116690258

Offset: 0

Author

Wolfdieter Lang, Feb 15 2002

Keywords

• nonn
• easy

Crossrefs

Seventh diagonal of A067330. Seventh column of A067418.

Formula

a(n)= A067330(n+6, n) = A067418(n+6, 6)= sum(F(k+1)*F(n+7-k), k=0..n), n>=0.

a(n)= ((47*n+65)*F(n+1)+29*(n+1)*F(n))/5, F(n) := A000045(n) (Fibonacci).

G.f.: (13+8*x)/(1-x-x^2)^2.