A055791 Table giving multiplicity of k-th irreducible character of Monster simple group in n-th head character, read by antidiagonals.

1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 4, 3, 1, 0, 0, 0, 4, 5, 2, 1, 0, 0, 0, 7, 7, 3, 1, 0, 0, 0, 0, 8, 11, 5, 2, 0, 0, 0, 0, 0, 12, 15, 7, 3, 1, 1, 0, 0, 0, 0, 14, 23, 12, 6, 1, 1, 0, 0, 0, 0, 0

Offset

0,7

Links

Andrei Zabolotskii, Table of n, a(n) for n = 0..119 (first 15 antidiagonals, from McKay and Strauss)

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

John McKay and Hubertus Strauss, The q-series of monstrous moonshine and the decomposition of the head characters, Comm Algebra 18 (1990), no. 1, 253-278.

Example

Table begins
  n\k 1 2 3 4 5 6 7
   *  1 0 0 0 0 0 0 ...
   1  1 1 0 0 0 0 0 ...
   2  1 1 1 0 0 0 0 ...
   3  2 2 1 1 0 0 0 ...
   4  2 3 2 1 0 1 0 ...
   5  4 5 3 2 1 1 1 ...
* - the starting row in this table corresponds to the (-1)th head character.

Crossrefs

First 2 columns give A014810, A055771.

Sequence in context: A328797 A328795 A353846 * A245842 A300574 A352194

Adjacent sequences: A055788 A055789 A055790 * A055792 A055793 A055794

Keyword

nonn,tabl,nice

Author

N. J. A. Sloane, Jul 22 2000

Status

approved