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
Harry J. Smith, Table of n, a(n) for n=0,...,500
Index entries for linear recurrences with constant coefficients, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).
FORMULA
a(0)=0, a(1)=0, a(2)=816, a(3)=53136, a(4)=986880, a(5)=9390000, a(6)=58831920, a(7)=276825696, a(8)=1057222656, a(9)=3444262560, a(10)=9900990000, a(n)= 11*a(n-1)- 55*a(n-2)+ 165*a(n-3)- 330*a(n-4)+ 462*a(n-5)- 462*a(n-6)+ 330*a(n-7)- 165*a(n-8)+ 55*a(n-9)- 11*a(n-10)+ a(n-11). - Harvey P. Dale, Aug 17 2015
G.f.: 48*x^2*(17 + 920*x + 9318*x^2 + 27545*x^3 + 27545*x^4 + 9318*x^5 + 920*x^6 + 17*x^7)/(1-x)^11. - Vincenzo Librandi, Jun 20 2018
MATHEMATICA
Table[n^4 (n^4+1)(n^2-1), {n, 0, 30}] (* or *) LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 0, 816, 53136, 986880, 9390000, 58831920, 276825696, 1057222656, 3444262560, 9900990000}, 30] (* Harvey P. Dale, Aug 17 2015 *)
CoefficientList[Series[48 x^2 (17 + 920 x + 9318 x^2 + 27545 x^3 + 27545 x^4 + 9318 x^5 + 920 x^6 + 17 x^7)/(1 - x)^11, {x, 0, 33}], x] (* Vincenzo Librandi, Jun 20 2018 *)
PROG
(PARI) { for (n=0, 500, write("b064583.txt", n, " ", n^4*(n^4 + 1)*(n^2 - 1)) ) } \\ Harry J. Smith, Sep 18 2009
(Magma) [n^4*(n^4+1)*(n^2-1): n in [0..25]]; // Vincenzo Librandi, Jun 20 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 17 2001
STATUS
approved