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

1,6

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

Links

Table of n, a(n) for n=1..21.

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

Example

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

Crossrefs

Cf. A000521, A001379, A007240, A055791.

Sequence in context: A352784 A037162 A352911 * A255559 A181935 A027358

Adjacent sequences: A278563 A278564 A278565 * A278567 A278568 A278569

Keyword

nonn,tabf,more

Author

N. J. A. Sloane, Nov 26 2016

Status

approved