login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A058584 McKay-Thompson series of class 24a for Monster. 1
1, -5, -5, -9, -14, -19, -34, -55, -69, -104, -164, -209, -283, -413, -539, -712, -968, -1248, -1642, -2167, -2731, -3526, -4592, -5736, -7244, -9255, -11520, -14378, -18018, -22238, -27556, -34132, -41701, -51184, -62900, -76323, -92771, -113002, -136421, -164673, -198842, -238627 (list; graph; refs; listen; history; text; internal format)
OFFSET
-1,2
LINKS
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 5175-5193 (1994).
FORMULA
Expansion of A - 4*q/A, where A = q^(1/2)*(eta(q)*eta(q^3)/(eta(q^4)* eta(q^12))), in powers of q. - G. C. Greubel, Jun 21 2018
a(n) ~ -exp(sqrt(2*n/3)*Pi) / (2^(5/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Jun 29 2018
EXAMPLE
T24a = 1/q - 5*q - 5*q^3 - 9*q^5 - 14*q^7 - 19*q^9 - 34*q^11 - 55*q^13 - ...
MATHEMATICA
eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q]*eta[q^3]/( eta[q^4]*eta[q^12])); a:= CoefficientList[Series[A - 4*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* G. C. Greubel, Jun 21 2018 *)
PROG
(PARI) q='q+O('q^50); A = (eta(q)*eta(q^3)/(eta(q^4)* eta(q^12))); Vec(A - 4*q/A) \\ G. C. Greubel, Jun 21 2018
CROSSREFS
Cf. A058491.
Sequence in context: A011986 A047880 A058491 * A324792 A147197 A323301
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Nov 27 2000
EXTENSIONS
Terms a(12) onward added by G. C. Greubel, Jun 21 2018
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 19 06:47 EDT 2024. Contains 370953 sequences. (Running on oeis4.)