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Search: id:A107033
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| A107033 |
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Expansion of q^(-1/24) eta(q^2)^8/(eta(q)^3 eta(q^4)^3) in powers of q. |
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2
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| 1, 3, 1, -2, 2, 1, -4, -1, -2, 0, 2, -4, -1, -2, -2, 1, 0, 2, -2, 2, 0, -4, 1, 0, 2, 2, 5, 0, -2, 0, 0, 4, -2, 0, 0, 3, 4, 0, 0, 2, 1, -4, 2, -2, 0, 0, 0, 2, -2, 0, 2, 3, -2, 0, -2, -2, -4, -1, 0, 0, 0, -4, 2, 0, 4, 0, -4, -2, 0, -2, -1, 0, 0, -2, -2, 2, -6, 1, 2, 0, 0, 4, 0, -2, 2, 0, 0, -2, -2, -2, 2, 0, 1, 0, 0, -2, 4, 0, 0, 2, 1, 6, 0, 2, 0
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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H. Kahl, G. Koehler, Components of Hecke theta series, J. Math. Anal. Appl. 232 (1999), no. 2, 312-331, see page 320. MR1683136 (2000e:11051)
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FORMULA
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Euler transform of period 4 sequence [3, -5, 3, -2, ...].
G.f. Product_{k>0} (1-x^(2k))^2(1+x^k)^3/(1+x^(2k))^3.
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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^2+A)^8/eta(x+A)^3/eta(x^4+A)^3, n))}
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CROSSREFS
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Sequence in context: A105973 A088429 A111951 this_sequence A115110 A066635 A016568
Adjacent sequences: A107030 A107031 A107032 this_sequence A107034 A107035 A107036
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KEYWORD
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sign
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AUTHOR
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Michael Somos, May 09 2005
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