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A094419 Generalized ordered Bell numbers Bo(6,n). 9
1, 6, 78, 1518, 39390, 1277646, 49729758, 2258233998, 117196187550, 6842432930766, 443879517004638, 31674687990494478, 2465744921215207710, 207943837884583262286, 18885506918597311159518 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sixth row of array A094416, which see for more information.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

E.g.f.: 1/(7 - 6*exp(x)).

a(n) = Sum_{k, 0<=k<=n} A131689(n,k)*6^k. - Philippe Deléham, Nov 03 2008

a(n) ~ n! / (7*(log(7/6))^(n+1)). - Vaclav Kotesovec, Mar 14 2014

MATHEMATICA

t = 30; Range[0, t]! CoefficientList[Series[1/(7 - 6 Exp[x]), {x, 0, t}], x] (* Vincenzo Librandi, Mar 16 2014 *)

CROSSREFS

Sequence in context: A131926 A132866 A279444 * A229044 A300874 A049209

Adjacent sequences:  A094416 A094417 A094418 * A094420 A094421 A094422

KEYWORD

nonn

AUTHOR

Ralf Stephan, May 02 2004

STATUS

approved

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Last modified November 15 22:20 EST 2018. Contains 317252 sequences. (Running on oeis4.)