-1,2

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

J. M. Borwein and P. B. Borwein, Pi and the AGM, Wiley, 1987, p. 195.

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

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

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

S. Ramanujan, Modular Equations and Approximations to pi, pp. 23-39 of Collected Papers of Srinivasa Ramanujan, Ed. G. H. Hardy et al., AMS Chelsea 2000. See page 26.

T. D. Noe, Table of n, a(n) for n=-1..1000

Index entries for McKay-Thompson series for Monster simple group

G.f. 48+64(g_n^(24)+g_n^(-24)) where q=e^(-pi sqrt(n)) and g_n is Ramanujan's class invariant.

(PARI) {a(n)=local(A); if(n<-1, 0, n++; A=prod(k=1, (n+1)\2, 1-x^(2*k-1), 1+x*O(x^n))^24; polcoeff( A+x*48+x^2*4096/A, n))}

Cf. A007267, A045478.

Sequence in context: A061530 A166768 A159399 this_sequence A106207 A100089 A151598

Adjacent sequences: A007238 A007239 A007240 this_sequence A007242 A007243 A007244

nonn,nice

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