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 A293116 E.g.f.: exp(x/(x-1)). 7
 1, -1, -1, -1, 1, 19, 151, 1091, 7841, 56519, 396271, 2442439, 7701409, -145269541, -4833158329, -104056218421, -2002667085119, -37109187217649, -679877731030049, -12440309297451121, -227773259993414719, -4155839606711748061, -74724654677947488521 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..450 FORMULA a(n) = (-1)^n * A111884(n). E.g.f.: Product_{k>=1} (1 - x^k)^(phi(k)/k), where phi() is the Euler totient function (A000010). - Ilya Gutkovskiy, May 25 2019 MAPLE a:= proc(n) option remember; `if`(n=0, 1, -add(       a(n-j)*binomial(n-1, j-1)*j!, j=1..n))     end: seq(a(n), n=0..25);  # Alois P. Heinz, Sep 30 2017 MATHEMATICA CoefficientList[Series[E^(-x/(1-x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Sep 30 2017 *) PROG (PARI) x='x+O('x^66); Vec(serlaplace(exp(x/(x-1)))) CROSSREFS Column k=0 of A293119. Cf. A000262, A066668, A111884. Sequence in context: A153692 A142060 A125356 * A066668 A111884 A126514 Adjacent sequences:  A293113 A293114 A293115 * A293117 A293118 A293119 KEYWORD sign AUTHOR Seiichi Manyama, Sep 30 2017 STATUS approved

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)