A020551 5th Fibonacci polynomial evaluated at x = n!.

5, 5, 29, 1405, 333505, 207403201, 268740115201, 645241358764801, 2642908298242867201, 17340121313167797043201, 173401213127767018168320001, 2538767161403063306670366720001, 52643875858853822296270152007680001, 1503561738404723999060774637500497920001

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..144

Formula

a(n) = (n!)^4 + 3*(n!)^2 + 1. - Christian Krause, Jun 08 2026

Maple

with(combinat):seq(fibonacci(5, n!), n=0..13); # Zerinvary Lajos, Apr 21 2008

Mathematica

Fibonacci[5, Range[0, 15]!] (* Paolo Xausa, Jun 18 2026 *)

Crossrefs

Sequence in context: A305180 A284140 A284182 * A153271 A261569 A117858

Adjacent sequences: A020548 A020549 A020550 * A020552 A020553 A020554

Keyword

nonn

Author

Simon Plouffe

Extensions

a(13) from Christian Krause, Jun 08 2026

Status

approved