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A293567
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Expansion of e.g.f.: exp(x^2/(x^3 - 1)).
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1
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1, 0, -2, 0, 12, -120, -120, 5040, -38640, -181440, 5412960, -33264000, -478336320, 12194582400, -50871300480, -2168559993600, 49692144902400, -59775248332800, -15819216007795200, 329479616206540800, 1101564635255884800, -174845824790757120000
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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>0} exp(x^(-(3*k-1))).
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Exp[x^2/(x^3-1)], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 31 2024 *)
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(x^2/(x^3-1))))
(PARI) N=66; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, exp(x^(3*k-1)))))
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CROSSREFS
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E.g.f.: Product_{k>0} exp(x^(-(m*k-1))): A293532 (m=2), this sequence (m=3), A293568 (m=4).
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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