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A238464 Generalized ordered Bell numbers Bo(7,n). 4

%I

%S 1,7,105,2359,70665,2646007,118893705,6232661239,373405001865,

%T 25167452766967,1884759251911305,155262005162499319,

%U 13952854271421949065,1358385484966283220727,142418920493123648992905,15998363870912950298468599

%N Generalized ordered Bell numbers Bo(7,n).

%C Row 7 of array A094416, which see for more information.

%H Vincenzo Librandi, <a href="/A238464/b238464.txt">Table of n, a(n) for n = 0..250</a>

%F E.g.f.: 1/(8 - 7*exp(x)).

%F a(n) ~ n! / (8*(log(8/7))^(n+1)). - _Vaclav Kotesovec_, Mar 20 2014

%t t=30; Range[0, t]! CoefficientList[Series[1/(8 - 7 Exp[x]), {x, 0, t}], x]

%o (MAGMA) m:=20; R<x>:=LaurentSeriesRing(RationalField(), m); b:=Coefficients(R!(1/(8 - 7*Exp(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // _Bruno Berselli_, Mar 17 2014

%o (PARI) x='x+O('x^66); Vec(serlaplace(1/(8 - 7*exp(x)))) \\ _Joerg Arndt_, Mar 17 2014

%Y Cf. A000670, A004123, A032033, A094417, A094418, A094419.

%K nonn

%O 0,2

%A _Vincenzo Librandi_, Mar 17 2014

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)