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

%I #18 Jun 14 2024 22:31:09

%S 0,0,3311126603366400,5734420792816671844761600,

%T 19009825523840945451297669120000,

%U 2131486317725501953125000000000000000,28289221506036457140036932327775928320000,86325573304608766361629193317905069834240000

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

%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 Vincenzo Librandi, <a href="/A037249/b037249.txt">Table of n, a(n) for n = 0..10000</a>

%p A037249:=n->n^24*(n^2-1)*(n^6-1)*(n^8-1)*(n^12-1): seq(A037249(n), n=0..10); # _Wesley Ivan Hurt_, Jan 28 2017

%t Table[n^24*(n^2 - 1) (n^6 - 1) (n^8 - 1) (n^12 - 1), {n, 0, 7}] (* _Michael De Vlieger_, Jan 30 2017 *)

%o (Magma) [n^24*(n^2-1)*(n^6-1)*(n^8-1)*(n^12-1): n in [0..10]]; // _Vincenzo Librandi_, Sep 14 2011

%o (PARI) a(n)=n^24*(n^2-1)*(n^6-1)*(n^8-1)*(n^12-1) \\ _Charles R Greathouse IV_, Jan 29 2017

%Y Cf. A008913.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_