A067333 Convolution of Fibonacci F(n+1), n>=0, with F(n+5), n>=0.

5, 13, 31, 65, 130, 250, 469, 863, 1565, 2805, 4980, 8772, 15349, 26705, 46235, 79705, 136886, 234302, 399845, 680515, 1155385, 1957293, 3309096, 5584200, 9407525, 15823765, 26577559, 44579633, 74681770

Offset

0,1

Comments

Fifth diagonal of A067330. Fifth column of A067418.

Links

Table of n, a(n) for n=0..28.

Formula

a(n)= A067330(n+4, n) = A067418(n+4, 4) = sum(F(k+1)*F(n+5-k), k=0..n), n>=0.

a(n)= ((18*n+25)*F(n+1)+11*(n+1)*F(n))/5, with F(n) := A000045(n) (Fibonacci).

G.f.: (5+3*x)/(1-x-x^2)^2.

Crossrefs

Sequence in context: A021007 A109419 A335307 * A369176 A209009 A118646

Adjacent sequences: A067330 A067331 A067332 * A067334 A067335 A067336

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 15 2002

Status

approved