A037250 a(n) = n^2*(n^2 + 1)*(n-1).

0, 0, 20, 180, 816, 2600, 6660, 14700, 29120, 53136, 90900, 147620, 229680, 344760, 501956, 711900, 986880, 1340960, 1790100, 2352276, 3047600, 3898440, 4929540, 6168140, 7644096, 9390000, 11441300

Offset

0,3

Comments

Conjecture: satisfies a linear recurrence having signature (6, -15, 20, -15, 6, -1). - Harvey P. Dale, Jul 27 2019

This conjecture is true since for any series a(n) = P(n) (P polynomial in n of degree d) there is an o.g.f. Q(x)/(1-x)^(d+1). - Georg Fischer, Feb 17 2021

References

R. W. Carter, Simple Groups of Lie Type, Wiley 1972, Chap. 14.

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Maple

seq(coeff(series(4*x^2*(x^3+9*x^2+15*x+5)/(x-1)^6, x, n+1), x, n), n = 0..30); # Georg Fischer, Feb 17 2021

Mathematica

Table[n^2 (n^2+1)(n-1), {n, 0, 30}] (* Harvey P. Dale, Jul 27 2019 *)

Prog

(Magma) [n^2*(n^2+1)*(n-1): n in [0..30]]; // Vincenzo Librandi, Sep 14 2011

Crossrefs

Cf. A064487, A064583.

Sequence in context: A027332 A159538 A091983 * A361569 A000144 A361609

Adjacent sequences: A037247 A037248 A037249 * A037251 A037252 A037253

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved