

A238464


Generalized ordered Bell numbers Bo(7,n).


4



1, 7, 105, 2359, 70665, 2646007, 118893705, 6232661239, 373405001865, 25167452766967, 1884759251911305, 155262005162499319, 13952854271421949065, 1358385484966283220727, 142418920493123648992905, 15998363870912950298468599
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OFFSET

0,2


COMMENTS

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


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..250


FORMULA

E.g.f.: 1/(8  7*exp(x)).
a(n) ~ n! / (8*(log(8/7))^(n+1)).  Vaclav Kotesovec, Mar 20 2014


MATHEMATICA

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


PROG

(MAGMA) m:=20; R<x>:=LaurentSeriesRing(RationalField(), m); b:=Coefficients(R!(1/(8  7*Exp(x)))); [Factorial(n1)*b[n]: n in [1..m]]; // Bruno Berselli, Mar 17 2014
(PARI) x='x+O('x^66); Vec(serlaplace(1/(8  7*exp(x)))) \\ Joerg Arndt, Mar 17 2014


CROSSREFS

Cf. A000670, A004123, A032033, A094417, A094418, A094419.
Sequence in context: A131869 A132867 A145666 * A096131 A049210 A167814
Adjacent sequences: A238461 A238462 A238463 * A238465 A238466 A238467


KEYWORD

nonn


AUTHOR

Vincenzo Librandi, Mar 17 2014


STATUS

approved



