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Order of Monster simple group.
9

%I #25 Jun 14 2024 22:31:08

%S 8,0,8,0,1,7,4,2,4,7,9,4,5,1,2,8,7,5,8,8,6,4,5,9,9,0,4,9,6,1,7,1,0,7,

%T 5,7,0,0,5,7,5,4,3,6,8,0,0,0,0,0,0,0,0,0

%N Order of Monster simple group.

%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. 228.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 296.

%D J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, New York, 1996, p. 62.

%D C. A. Pickover, The Math Book, Sterling, NY, 2009; see p. 474.

%F Equals A001228(26) = Product_{n=1..15} A002267(n)^A051161(A049084(A002267(n))) = Sum_{n=0..53} a(53-n)*10^n = h(53) with h(n) = 10*h(n-1) + a(n) for n > 0, h(0) = a(0). - _Reinhard Zumkeller_, Apr 02 2010

%e 808017424794512875886459904961710757005754368000000000.

%o (PARI) 2^46 * 3^20 * 5^9 * 7^6 * 11^2 * 13^3 * 17 * 19 * 23 * 29 * 31 * 41 * 47 * 59 * 71 \\ _Charles R Greathouse IV_, Oct 31 2014

%Y Cf. A001228, A001379, A002267, A051161, A174670, A174817.

%K nonn,fini,full,nice,cons

%O 54,1

%A _N. J. A. Sloane_