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0, 0, 0, 0, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 1, -2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, -1, -1, -2, 0, 1, 0, 0, -1, -1, -1, -1, 1, -1, -1, -3, 1, 0, 0, 0, 1, 0, 0, 1, 3, -2, 0, 1, -1, 1, 1, 0, 0, 1, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, 3, 5, -1, -2, 0, 0
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OFFSET
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0,20
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COMMENTS
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Michael Somos found a four term identity: eta(q) * eta(q^30) * eta(q^35) * eta(q^42) + eta(q^3) * eta(q^10) * eta(q^14) * eta(q^105) = eta(q^2) * eta(q^15) * eta(q^21) * eta(q^70) + eta(q^5) * eta(q^6) * eta(q^7) * eta(q^210).
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LINKS
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FORMULA
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MATHEMATICA
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eta[q_] := q^(1/24)*QPochhammer[q]; CoefficientList[Series[q^(-1/2) *eta[q^3]*eta[q^10]*eta[q^14]*eta[q^105] + q^(-1/2)*eta[q]*eta[q^30] *eta[q^35]*eta[q^42], {q, 0, 50}], q] (* G. C. Greubel, Jul 29 2018 *)
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PROG
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(PARI) q='q+O('q^50); A = q*eta(q^3)*eta(q^10)*eta(q^14)*eta(q^105); B = eta(q)*eta(q^30)*eta(q^35)*eta(q^42); concat(vector(4), Vec(A + B)) \\ G. C. Greubel, Jul 29 2018
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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