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Search: id:A062245
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| A062245 |
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Expansion of Hauptmodul for group G'_{27|3}. |
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+0
2
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| 1, 1, -1, 0, 0, -1, 0, -1, 0, -1, -1, 1, -1, 0, 1, 1, 1, 0, 2, 2, -2, 1, 1, -2, -1, -2, 1, -3, -3, 3, -2, -1, 3, 2, 3, 0, 5, 5, -5, 3, 1, -5, -3, -5, 1, -7, -7, 7, -5, -2, 7, 4, 7, -1, 11, 11, -11, 6, 3, -11, -6, -11, 2, -15, -15, 15, -10, -4, 15, 9, 14, -2, 22, 22, -22, 13, 6, -21, -12, -21, 4, -30, -30, 30, -19, -8, 29, 17, 28, -4, 42
(list; graph; listen)
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OFFSET
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0,19
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COMMENT
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Euler transform of period 36 sequence [1,-2,1,-1,1,-2,1,-1,0,-2,1,-1,1,-2,1,-1,1,0,1,-1,1,-2,1,-1,1,-2,0,-1,1,-2,1,-1,1,-2,1,0,...].
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REFERENCES
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J. McKay and A. Sebbar, Fuchsian groups, automorphic functions and Schwarzians, Math. Ann., 318 (2000), 255-275.
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EXAMPLE
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eta(6*z)^3*eta(27*z)*eta(108*z)/(eta(3*z)*eta(12*z)*eta(54*z)^3) = 1/q + 1*q^2 - 1*q^5 - 1*q^14 - 1*q^20 - 1*q^26 - 1*q^29 + 1*q^32 - 1*q^35 + 1*q^41 + 1*q^44 + ...
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PROGRAM
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(PARI) a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff(eta(-x+A)/eta(-x^9+A), n)) /* Michael Somos Jun 26 2004 */
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CROSSREFS
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Cf. A007706. A062246(n)=(-1)^n*a(n).
Sequence in context: A104637 A058745 A108393 this_sequence A062246 A037811 A091237
Adjacent sequences: A062242 A062243 A062244 this_sequence A062246 A062247 A062248
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KEYWORD
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sign,easy
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AUTHOR
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njas, Jul 01 2001
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