A037251 a(n) = n^3*(n^3 + 1)*(n-1).

0, 0, 72, 1512, 12480, 63000, 234360, 707952, 1838592, 4257360, 9009000, 17728920, 32864832, 57948072, 97919640, 159516000, 251719680, 386279712, 578306952, 846949320, 1216152000, 1715507640

Offset

0,3

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 (8, -28, 56, -70, 56, -28, 8, -1).

Formula

G.f.: 24*x^2*(7*x^4 + 61*x^3 + 100*x^2 + 39*x + 3)/(1-x)^8. - Sergei N. Gladkovskii, Aug 20 2012

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8); a(0)=0, a(1)=0, a(2)=72, a(3)=1512, a(4)=12480, a(5)=63000, a(6)=234360, a(7)=707952. - Harvey P. Dale, Nov 23 2012

Mathematica

n3[n_]:=Module[{c=n^3}, c(c+1)(n-1)]; Array[n3, 30, 0] (* or *) LinearRecurrence[ {8, -28, 56, -70, 56, -28, 8, -1}, {0, 0, 72, 1512, 12480, 63000, 234360, 707952}, 30] (* Harvey P. Dale, Nov 23 2012 *)

Prog

(Magma) [n^3*(n^3+1)*(n-1): n in [0..30]]; // Vincenzo Librandi, Sep 14 2011

Crossrefs

Cf. A033669, A064584.

Sequence in context: A008391 A292881 A282018 * A352994 A234209 A280807

Adjacent sequences: A037248 A037249 A037250 * A037252 A037253 A037254

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved