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 A058624 McKay-Thompson series of class 30c for Monster. 2
 1, -1, -1, 1, -1, -1, 3, 0, -2, 4, -3, -2, 6, -3, -4, 8, -6, -6, 13, -8, -8, 18, -9, -11, 26, -13, -15, 32, -19, -20, 47, -26, -29, 60, -34, -36, 82, -42, -49, 104, -58, -61, 136, -72, -81, 174, -99, -104, 225, -122, -132, 284, -151, -166, 362, -194, -209, 448 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994). FORMULA From Michael Somos, Mar 26 2004: (Start) G.f. A(x)=y satisfies 0=f(A(x)^2/x,A(x^2)^2/x^2) where f(u,v) = u^3 + v^3 - 4uv(u+v) - 9uv - (uv)^2. Euler transform of period 15 sequence [-1,-1,0,-1,-2,0,-1,-1,0,-2,-1,0,-1,-1,0,...]. Expansion of q^(1/2)*(eta(q)*eta(q^5))/(eta(q^3)*eta(q^15)) in powers of q. (End) EXAMPLE T30c = 1/q - q - q^3 + q^5 - q^7 - q^9 + 3*q^11 - 2*q^15 + 4*q^17 - 3*q^19 - ... MATHEMATICA QP = QPochhammer; s = (QP[q]*QP[q^5])/(QP[q^3]*QP[q^15]) + O[q]^60; CoefficientList[s, q] (* Jean-François Alcover, Nov 13 2015, adapted from PARI *) PROG (PARI) a(n)=local(X); if(n<0, 0, X=x+x*O(x^n); polcoeff((eta(X)*eta(X^5))/(eta(X^3)*eta(X^15)), n)) CROSSREFS Cf. A000521, A007240, A007241, A007267, A014708, A045478. Sequence in context: A178313 A190013 A171088 * A145856 A092154 A177344 Adjacent sequences:  A058621 A058622 A058623 * A058625 A058626 A058627 KEYWORD sign AUTHOR N. J. A. Sloane, Nov 27 2000 STATUS approved

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Last modified October 15 15:14 EDT 2019. Contains 328030 sequences. (Running on oeis4.)