cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Wolfdieter Lang, Feb 15 2002

Keywords

Comments

Fifth diagonal of A067330. Fifth column of A067418.

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.