[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A058774
McKay-Thompson series of class 110A for Monster.
1
1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 4, 3, 5, 4, 5, 5, 7, 6, 8, 6, 10, 8, 12, 10, 14, 13, 16, 14, 19, 16, 22, 20, 26, 23, 29, 28, 35, 32, 39, 36, 47, 42, 53, 49, 60, 58, 70, 66, 79, 74, 91, 86, 104, 98, 115, 114, 133, 128, 150, 144, 171, 166
OFFSET
-1,9
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = -1..3200 (computed by David A. Madore)
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
David A. Madore, Coefficients of Moonshine (McKay-Thompson) series, The Math Forum
FORMULA
a(n) ~ exp(4*Pi*sqrt(n/110)) / (sqrt(2) * 110^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jul 10 2018
EXAMPLE
T110A = 1/q + q^2 + q^3 + q^5 + 2*q^7 + q^8 + 2*q^9 + q^10 + 2*q^11 + 2*q^12 + ...
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
More terms from Michel Marcus, Feb 19 2014
STATUS
approved