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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved