|
| |
|
|
A058531
|
|
McKay-Thompson series of class 18A for Monster.
|
|
1
| |
|
|
1, 0, -2, 1, 0, 2, 1, 0, 0, -1, 0, -4, -1, 0, 4, 0, 0, 2, 1, 0, -8, 2, 0, 8, 0, 0, 2, -2, 0, -16, -3, 0, 16, -1, 0, 4, 4, 0, -28, 4, 0, 28, 1, 0, 8, -4, 0, -48, -6, 0, 46, -1, 0, 12, 5, 0, -80, 8, 0, 76, 1, 0, 20, -8, 0, -126, -10, 0, 120, -2, 0, 32, 11, 0, -196, 14, 0, 184, 4, 0, 48
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| -1,3
|
|
|
COMMENTS
| a(3n)=0, a(3n-1)=A062242(n), a(3n+1)=-2*A092848(n). - Michael Somos Mar 17 2004
|
|
|
REFERENCES
| D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
|
|
|
LINKS
| Index entries for McKay-Thompson series for Monster simple group
|
|
|
EXAMPLE
| T18A = 1/q - 2*q + q^2 + 2*q^4 + q^5 - q^8 - 4*q^10 - q^11 + 4*q^13 + 2*q^16 + ...
|
|
|
PROG
| (PARI) a(n)=if(n<1, n==-1, n++; X=x+x*O(x^n); polcoeff(eta(X)*eta(X^2)/eta(X^9)/eta(X^18), n)) - Michael Somos Mar 17 2004
|
|
|
CROSSREFS
| Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
Sequence in context: A067613 A178235 * A093073 A156319 A190893 A030204
Adjacent sequences: A058528 A058529 A058530 * A058532 A058533 A058534
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 27, 2000
|
| |
|
|
