%I #15 Aug 21 2024 10:31:02

%S 0,0,3417910227763200,5750196336070669526860800,

%T 19019112199165915449561553305600,

%U 2131759182899795471191406250000000000,28290434230411346324718998304669145497600,86327040840088606422888410067239883717120000,89916942286942068860716401701960654296763596800

%N a(n) = n^24*(n^2-1)*(n^6+1)*(n^8-1)*(n^12+1).

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

%D 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.

%H Harry J. Smith, <a href="/A064585/b064585.txt">Table of n, a(n) for n = 0..100</a>

%H <a href="/index/Rec#order_53">Index entries for linear recurrences with constant coefficients</a>, signature (53, -1378, 23426, -292825, 2869685, -22957480, 154143080, -886322710, 4431613550, -19499099620, 76223753060, -266783135710, 841392966470, -2403979904200, 6250347750920, -14844575908435, 32308782859535, -64617565719070, 119032357903550, -202355008436035, 317986441828055, -462525733568080, 623404249591760, -779255311989700, 903936161908052, -973469712824056, 973469712824056, -903936161908052, 779255311989700, -623404249591760, 462525733568080, -317986441828055, 202355008436035, -119032357903550, 64617565719070, -32308782859535, 14844575908435, -6250347750920, 2403979904200, -841392966470, 266783135710, -76223753060, 19499099620, -4431613550, 886322710, -154143080, 22957480, -2869685, 292825, -23426, 1378, -53, 1).

%t Table[n^24(n^2-1)(n^6+1)(n^8-1)(n^12+1),{n,0,20}] (* _Harvey P. Dale_, Aug 08 2011 *)

%o (PARI) { for (n=0, 100, a=n^24*(n^2 - 1)*(n^6 + 1)*(n^8 - 1)*(n^12 + 1); write("b064585.txt", n, " ", a) ) } \\ _Harry J. Smith_, Sep 19 2009

%Y Cf. A037252, A064586.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, Oct 17 2001