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A308398
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Expansion of e.g.f. exp(Sum_{k>=1} x^(k^2)*(x^(k^2) - 1)/k^2).
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2
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1, -1, 3, -7, 19, -51, 61, 167, 6777, -107929, 1650691, -17839911, 157217083, -1229269627, 6185945949, -3251776921, -1151787785999, 10138302541647, 532690324952707, -14122245788830279, 443912721023736291, -7480012715591067331, 115775303074594208893, -1392396864130912381017
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: Product_{k>=1} 1/(1 + x^k)^(lambda(k)/k), where lambda() is the Liouville function (A008836).
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MATHEMATICA
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nmax = 23; CoefficientList[Series[Exp[Sum[x^(k^2) (x^(k^2) - 1)/k^2, {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]!
nmax = 23; CoefficientList[Series[Product[1/(1 + x^k)^(LiouvilleLambda[k]/k), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
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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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