A003131 Decimal expansion of the order of Monster group.

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

Offset

54,1

References

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.

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

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

John Derbyshire, Unknown Quantity: A Real and Imaginary History of Algebra. Washington, DC: Joseph Henry Press (2006): 222.

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

Links

Table of n, a(n) for n=54..107.

Formula

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

Example

808017424794512875886459904961710757005754368000000000.

Mathematica

RealDigits[GroupOrder[MonsterGroupM[]]][[1]] (* Amiram Eldar, Mar 24 2026 *)

Prog

(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

Crossrefs

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

Sequence in context: A133741 A066606 A048729 * A010679 A347157 A186981

Adjacent sequences: A003128 A003129 A003130 * A003132 A003133 A003134

Keyword

nonn,fini,full,nice,cons

Author

N. J. A. Sloane

Status

approved