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A002507
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Expansion of a modular function for Gamma_0(6).
(Formerly M1542 N0602)
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1
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1, 2, -5, -24, -23, 76, 249, 168, -599, -1670, -1026, 3272, 8529, 5232, -14062, -35976, -22337, 51516, 131617, 82568, -169376, -432636, -273332, 513584, 1309800, 830372, -1456569, -3709672, -2354215, 3904696, 9931407, 6301120, -9983208, -25339626, -16057040, 24504584, 62033318
(list; graph; refs; listen; history; internal format)
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OFFSET
| -3,2
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REFERENCES
| Newman, Morris; Construction and application of a class of modular functions. II. Proc. London Math. Soc. (3) 9 1959 373-387.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| eta(2z)^10*eta(3z)^14/(eta(z)^2*eta(6z)^22)
Euler transform of period 6 sequence [2, -8, -12, -8, 2, 0, ...]. - Michael Somos Nov 10 2005
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PROG
| (PARI) {a(n)=local(A); if(n<-3, 0, n+=3; A=x*O(x^n); polcoeff( eta(x^2+A)^10*eta(x^3+A)^14/ eta(x+A)^2/eta(x^6+A)^22, n))} /* Michael Somos Nov 10 2005 */
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CROSSREFS
| Cf. A002508.
Sequence in context: A181074 A078125 A034692 * A137094 A130379 A047147
Adjacent sequences: A002504 A002505 A002506 * A002508 A002509 A002510
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KEYWORD
| sign,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jan 14 2001
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