login
Table giving multiplicity of k-th irreducible character of Monster simple group in n-th head character, read by antidiagonals.
3

%I #4 Mar 30 2012 16:48:51

%S 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,

%T 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

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

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

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

%e Table begins

%e 1 0 0 0 0 0 0 ...

%e 1 1 0 0 0 0 0 ...

%e 1 1 1 0 0 0 0 ...

%e 2 2 1 1 0 0 0 ...

%e 2 3 2 1 0 1 0 ...

%e 4 5 3 2 1 1 1 ...

%Y First 2 columns give A014810, A055771.

%K nonn,tabl,nice

%O 0,7

%A _N. J. A. Sloane_, Jul 22 2000