A278566 Irregular triangle read by rows: row n gives coefficients when the n-th coefficient of the modular function j (A000521(n)) is written as a linear combination of irreducible characters of the Monster simple group (A001379).

1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 3, 1, 2, 1, 4, 5, 3, 2, 1, 1, 1

Offset: 1

Author

N. J. A. Sloane, Nov 26 2016

Keywords

• nonn
• tabf
• more

Comments

The coefficients are given as in Thompson's paper. The choice of coefficients is actually ambiguous because of a linear relation with small coefficients between the terms of A001379 (see Wikipedia). - Andrey Zabolotskiy, Feb 12 2019

Examples

			Triangle begins:
  1,1,
  1,1,1,
  2,2,1,1,
  3,3,1,2,1,
  4,5,3,2,1,1,1,
  ...
		

Links

• J. G. Thompson, Some numerology between the Fischer-Griess Monster and the elliptic modular function, Bull. London Math. Soc., 11 (1979), 352-353.
• Wikipedia, Monstrous moonshine
• Index entries for sequences related to groups
• Index entries for McKay-Thompson series for Monster simple group

Crossrefs

Cf. A000521, A001379, A007240, A055791.