0,2

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.

N. D. Elkies, Elliptic and modular curves..., in AMS/IP Studies in Advanced Math., 7 (1998), 21-76, esp. p. 37.

D. Ford, J. McKay and S. P. Norton, ``More on replicable functions,'' Commun. Algebra 22, No. 13, 5175-5193 (1994).

G. Hoehn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.

McKay, John; Strauss, Hubertus. The q-series of monstrous moonshine and the decomposition of the head characters. Comm. Algebra 18 (1990), no. 1, 253-278.

Index entries for McKay-Thompson series for Monster simple group

G. Hoehn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

T. Gannon, [math.QA/0402345] Monstrous Moonshine: The first twenty-five years.

In the notation of Gunning, Lect. on Modular Forms, pp. 53-54, expand E_2(z)/Delta(z)^(1/3).

Given g.f. A(x), then B(x)=A(x^3)/x satisfies 0=f(B(x), B(x^2)) where f(u, v)=u^3+v^3-54000+495uv-(uv)^2. - Michael Somos Apr 29 2006

Expansion of (phi(-q)^8 -(2phi(-q)phi(q))^4 +16phi(q)^8)/f(-q)^8 in powers of q where phi(), f() are Ramanujan theta functions.

T3C = 1/q +248*q^2 +4124*q^5 +34752*q^8 +213126*q^11 +...

(PARI) a(n)=if(n<0, 0, polcoeff(sum(k=1, n, 240*sigma(k, 3)*x^k, 1+x*O(x^n))/eta(x+x*O(x^n))^8, n)) /* Michael Somos Apr 17 2004 */

(PARI) a(n)=if(n<0, 0, polcoeff((x*ellj(x+x^2*O(x^n)))^(1/3), n)) /* Michael Somos May 26 2004 */

Adjacent sequences: A007242 A007243 A007244 this_sequence A007246 A007247 A007248

Sequence in context: A135046 A027654 A003916 this_sequence A030062 A033555 A030650

nonn,easy,nice

N. J. A. Sloane (njas(AT)research.att.com).