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 A300673 Expansion of e.g.f. exp(Sum_{k>=1} mu(k)*x^k/k!), where mu() is the Moebius function (A008683). 0
 1, 1, 0, -3, -6, 5, 61, 126, -308, -2772, -5669, 25630, 224730, 486551, -3068155, -29264219, -72173176, 513535711, 5625869262, 16687752839, -113740116822, -1496118902963, -5508392724427, 31534346503605, 523333047780288, 2414704077547660, -10254467367668159 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Exponential transform of A008683. LINKS N. J. A. Sloane, Transforms FORMULA E.g.f.: exp(Sum_{k>=1} A008683(k)*x^k/k!). EXAMPLE E.g.f.: A(x) = 1 + x/1! - 3*x^3/3! - 6*x^4/4! + 5*x^5/5! + 61*x^6/6! + 126*x^7/7! - 308*x^8/8! - 2772*x^9/9! - 5669*x^10/10! + ... MATHEMATICA nmax = 26; CoefficientList[Series[Exp[Sum[MoebiusMu[k] x^k/k!, {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]! a[n_] := a[n] = Sum[MoebiusMu[k] Binomial[n - 1, k - 1] a[n - k], {k, 1, n}]; a[0] = 1; Table[a[n], {n, 0, 26}] CROSSREFS Cf. A008683, A050385, A050386, A068341, A073776, A104688, A117209, A117210, A195589, A204290, A300663. Sequence in context: A303564 A121867 A307132 * A009193 A144253 A138743 Adjacent sequences:  A300670 A300671 A300672 * A300674 A300675 A300676 KEYWORD sign AUTHOR Ilya Gutkovskiy, Mar 11 2018 STATUS approved

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Last modified April 3 01:39 EDT 2020. Contains 333195 sequences. (Running on oeis4.)