A054448 -id:A054448 - cp's OEIS frontend

A054449 Row sums of triangle A054448 (second member of partial row sums triangle family of Fibonacci convolution triangle).

1, 4, 14, 46, 144, 436, 1287, 3724, 10603, 29788, 82748, 227658, 621122, 1682252, 4526845, 12111512, 32237253, 85407188, 225318042, 592141478, 1550688932, 4047787844, 10534503523, 27340763556, 70777265551, 182785072876

Offset: 0

Graph
List
Refs
Listen
History
Text
Internal format

Wolfdieter Lang, Apr 27 2000

easy
nonn

Cf. A000129, A000045, A054448.

a(n)= sum(A054448(n, m), m=0..n)= ((2*n^2+17*n+32)*P(n+1)+13*(n+1)*P(n))/32, P(n)= A000129(n) (Pell numbers).

G.f.: ((Pell(x))^3)/(Fib(x))^2, with Pell(x)= 1/(1-2*x-x^2) = g.f. A000129(n+1) (Pell numbers without 0) and Fib(x)=1/(1-x-x^2) = g.f. A000045(n+1) (Fibonacci numbers without 0).

cp's OEIS Frontend

A054449 Row sums of triangle A054448 (second member of partial row sums triangle family of Fibonacci convolution triangle).

Views

Author

Keywords

Crossrefs

Formula