A318258 a(n) = [x] OmegaPolynomial(5, n). OmegaPolynomials are defined in A318146.
0, 1, -125, 249250, -2886735625, 122209131374375, -14455143383196875000, 4006210678487307667578125, -2297417123000769120910212890625, 2485076260705905645263720799941406250, -4719878705811419698488114573981055908203125
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Programs
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Maple
# The function OmegaPolynomial is defined in A318146. seq(coeff(OmegaPolynomial(5, n), x, 1), n=0..11);
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Mathematica
LMlist[m_, len_] := Table[(m n)!, {n, 0, len}]* CoefficientList[Series[Log[MittagLefflerE[m, z]], {z, 0, len}], z]; LMlist[5, 13]