A372252 a(n) = A000045(n+1)*A000292(n) (product of a Fibonacci number and a tetrahedral number).

0, 1, 8, 30, 100, 280, 728, 1764, 4080, 9075, 19580, 41184, 84812, 171535, 341600, 671160, 1303152, 2503896, 4766340, 8997450, 16856840, 31366181, 58001768, 106646400, 195065000, 355074525, 643465368, 1161281394, 2087769740, 3740019800, 6677494240, 11884853904, 21091074752

Offset

0,3

Links

Table of n, a(n) for n=0..32.

Index entries for linear recurrences with constant coefficients, signature (4,-2,-8,5,8,-2,-4,-1).

Formula

G.f.: -x*((x^2+1)*(x^2-4*x-1))/(x^2+x-1)^4.

Mathematica

CoefficientList[Series[x*((1+x^2)*(1+4x-x^2))/(1-x-x^2)^4, {x, 0, 32}], x] (* Stefano Spezia, Nov 09 2025 *)

Crossrefs

Cf. A000045, A000292.

Sequence in context: A343520 A107233 A098213 * A163613 A279217 A050477

Adjacent sequences: A372249 A372250 A372251 * A372253 A372254 A372255

Keyword

nonn,easy

Author

Vladimir Kruchinin, Apr 24 2024

Extensions

a(28)-a(32) from Stefano Spezia, Nov 09 2025

Status

approved