A014810 Multiplicity of trivial character in V_n, where V = Sum V_n is the graded module for the Monster simple group.

1, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 22, 25, 36, 44, 61, 74, 102, 124, 167, 206, 271, 335, 440, 542, 701, 870, 1115, 1381, 1762, 2180, 2763, 3422, 4310, 5333, 6697, 8272, 10342, 12773, 15913, 19624, 24386, 30034, 37219, 45799, 56611, 69576, 85841

Offset

1,4

References

J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.

Harada, Koichiro; Lang, Mong Lung; The McKay-Thompson series associated with the irreducible characters of the Monster. Moonshine, the Monster and related topics (South Hadley, MA, 1994), 93-111, Contemp. Math., 193, Amer. Math. Soc., Providence, RI, 1996.

J. McKay and H. Strauss, The q-series of Monstrous Moonshine..., Commun. Alg., 18 (1990), 253-278.

Links

Table of n, a(n) for n=1..48.

Crossrefs

Cf. A055791, A055771.

Sequence in context: A085811 A187219 A317785 * A318771 A363726 A239835

Adjacent sequences: A014807 A014808 A014809 * A014811 A014812 A014813

Keyword

nonn,nice

Author

N. J. A. Sloane

Status

approved