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A113687
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Expansion of q^(-7/12)eta(q)eta(q^6)^3/(eta(q^2)eta(q^3)) in powers of q.
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1
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1, -1, 0, 0, 0, -1, -1, 1, 1, 0, 0, 1, -1, 1, -1, 0, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, 0, 1, -1, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 1, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 1, -1, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, -2, 0, -1, 0, 0, -1, 0, 1, 1, -1, 1, 0, -1, 0, 2, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, -1, 0, -1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0
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OFFSET
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0,64
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COMMENTS
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|a(n)|<2 if n<63, |a(n)|<3 if n<742, |a(n)|<4 if n<8456.
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LINKS
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Table of n, a(n) for n=0..104.
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FORMULA
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Euler transform of period 6 sequence [ -1, 0, 0, 0, -1, -2, ...].
G.f.: Product_{k>0} (1-x^(6k))^2*(1-x^(6k-1))*(1-x^(6k-5)).
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PROG
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(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)*eta(x^6+A)^3/ eta(x^2+A)/eta(x^3+A), n))}
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CROSSREFS
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Sequence in context: A281274 A191250 A107064 * A071006 A227740 A284503
Adjacent sequences: A113684 A113685 A113686 * A113688 A113689 A113690
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KEYWORD
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sign
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AUTHOR
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Michael Somos, Nov 05 2005
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STATUS
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approved
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