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Search: id:A143160
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| A143160 |
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Expansion of q^(-5/12) * eta(q) * eta(q^2) * eta(q^3) * eta(q^4) in powers of q. |
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+0
1
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| 1, -1, -2, 0, 0, 5, 1, 1, -2, -7, 4, -5, -2, -1, 4, 7, -1, 5, -1, 2, 2, 4, -13, -10, 1, -1, -2, 3, 6, -8, -1, 2, 9, 4, 9, 3, -1, -3, 9, -8, -9, 2, -9, 3, -12, -10, 1, 11, -6, 14, -11, -1, 1, 2, 18, -13, 3, 12, 13, 6, 6, -7, -3, -5, -2, -14, 2, -10, -7, -2, -18, 14, 19, -9, -9, -9, 10, -4, -11, 11, 1, 6, 4, 17, -3, 24, 5, -6, -1, -2, -6, -3, 8, 21
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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Euler transform of period 12 sequence [ -1, -2, -2, -3, -1, -3, -1, -3, -2, -2, -1, -4, ...].
Given g.f. A(x) then the 263-section yields A153(x) = -263 * x^(153 + 109 * 263) * A(x^(263^2)).
G.f.: Product_{k>0} (1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k)) * (1 - x^(4*k)).
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EXAMPLE
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q^5 - q^17 - 2*q^29 + 5*q^65 + q^77 + q^89 - 2*q^101 - 7*q^113 + ...
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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^2 + A) * eta(x^3 + A) * eta(x^4 + A), n))}
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CROSSREFS
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Sequence in context: A048243 A057611 A094597 this_sequence A095221 A078112 A128711
Adjacent sequences: A143157 A143158 A143159 this_sequence A143161 A143162 A143163
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Jul 27 2008
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