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A293567
Expansion of e.g.f.: exp(x^2/(x^3 - 1)).
1
1, 0, -2, 0, 12, -120, -120, 5040, -38640, -181440, 5412960, -33264000, -478336320, 12194582400, -50871300480, -2168559993600, 49692144902400, -59775248332800, -15819216007795200, 329479616206540800, 1101564635255884800, -174845824790757120000
OFFSET
0,3
FORMULA
E.g.f.: Product_{k>0} exp(x^(-(3*k-1))).
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Exp[x^2/(x^3-1)], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 31 2024 *)
PROG
(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)))))
CROSSREFS
E.g.f.: Product_{k>0} exp(x^(-(m*k-1))): A293532 (m=2), this sequence (m=3), A293568 (m=4).
Cf. A293494.
Sequence in context: A353222 A013310 A269889 * A293494 A058803 A193202
KEYWORD
sign
AUTHOR
Seiichi Manyama, Oct 12 2017
EXTENSIONS
Definition clarified by Harvey P. Dale, Mar 31 2024
STATUS
approved