A178392 a(n) = (n^2 - 1)^2 - 1.

0, -1, 8, 63, 224, 575, 1224, 2303, 3968, 6399, 9800, 14399, 20448, 28223, 38024, 50175, 65024, 82943, 104328, 129599, 159200, 193599, 233288, 278783, 330624, 389375, 455624, 529983, 613088, 705599, 808200, 921599, 1046528, 1183743, 1334024, 1498175, 1677024

Offset

0,3

Links

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

From Stefano Spezia, Jun 05 2026: (Start)

G.f.: x*(-1 + 13*x + 13*x^2 - x^3)/(1 - x)^5.

E.g.f.: exp(x)*x*(-1 + 5*x + 6*x^2 + x^3). (End)

From Elmo R. Oliveira, Jun 05 2026: (Start)

a(n) = (A121671(n) - 1)/5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)

Mathematica

Table[(n^2-1)^2-1, {n, 0, 5!}]

Crossrefs

Cf. A001093, A002522, A005563, A121671, A178390, A178391.

Sequence in context: A132506 A080270 A371402 * A307434 A282311 A085433

Adjacent sequences: A178389 A178390 A178391 * A178393 A178394 A178395

Keyword

sign,easy

Author

Vladimir Joseph Stephan Orlovsky, May 27 2010

Extensions

More terms from Elmo R. Oliveira, Jun 05 2026

Status

approved