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Search: id:A030220
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| A030220 |
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Expansion of (eta(q^3)*eta(q^5))^3 in powers of q. |
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+0
1
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| 1, 0, 0, -3, 0, -3, 0, 0, 9, 5, 0, 0, 0, 0, -15, 5, 0, 0, -22, 0, 0, 0, 0, 21, 25, 0, 0, 0, 0, 0, 2, 0, 0, -14, 0, -27, 0, 0, 0, -35, 0, 0, 0, 0, 0, 34, 0, 0, 49, 0, 42, 0, 0, -27, 0, 0, 0, 0, 0, 45, -118, 0, 0, 13, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 66, 0, 0, 98, 0, 81, 0, 0, 0, -70, 0, 0, 0, 0, 45, 0, 0, 0, -14
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OFFSET
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1,4
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REFERENCES
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M. Koike, On McKay's conjecture, Nagoya Math. J., 95 (1984), 85-89.
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FORMULA
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Euler transform of period 15 sequence [ 0, 0, -3, 0, -3, -3, 0, 0, -3, -3, 0, -3, 0, 0, -6, ...]. - Michael Somos Jun 14 2007
G.f.: (1/2)* Sum_{u,v} (u*u -4*v*v)* x^(u*u +u*v +4*v*v). - Michael Somos Jun 14 2007
G.f.: x*(Product_{k>0} (1-x^(3*k))(1-x^(5*k)))^3. - Michael Somos Jun 14 2007
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EXAMPLE
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q - 3*q^4 - 3*q^6 + 9*q^9 + 5*q^10 - 15*q^15 + 5*q^16 - 22*q^19 + 21*q^24 + ...
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CROSSREFS
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Adjacent sequences: A030217 A030218 A030219 this_sequence A030221 A030222 A030223
Sequence in context: A127802 A165951 A094901 this_sequence A055240 A115634 A010674
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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