A192255 1-sequence of reduction of (n^2) by x^2 -> x+1.

0, 4, 13, 45, 120, 300, 692, 1524, 3225, 6625, 13280, 26096, 50432, 96100, 180925, 337085, 622328, 1139756, 2072580, 3744980, 6728345, 12026209, 21395328, 37901760, 66881760, 117598660, 206094157, 360085869, 627364920, 1090171020

Offset

1,2

Comments

See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".

Links

Table of n, a(n) for n=1..30.

Formula

Empirical G.f.: x^2*(4-3*x+5*x^2-x^3)/(1-x)/(1-x-x^2)^3. [Colin Barker, Feb 10 2012]

a(n) = Sum_{i=1..n+1} i^2*Fibonacci(i-1) (conjectured). - Greg Dresden, Oct 10 2023

Mathematica

(See A192254.)

Crossrefs

Cf. A192232, A192254.

Sequence in context: A174299 A351028 A285188 * A035356 A320652 A203573

Adjacent sequences: A192252 A192253 A192254 * A192256 A192257 A192258

Keyword

nonn

Author

Clark Kimberling, Jun 27 2011

Status

approved