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 A094418 Generalized ordered Bell numbers Bo(5,n). 12
 1, 5, 55, 905, 19855, 544505, 17919055, 687978905, 30187495855, 1490155456505, 81732269223055, 4931150091426905, 324557348772511855, 23141780973332248505, 1776997406800302687055, 146197529083891406394905 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Fifth row of array A094416, which see for more information. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 Paul Barry, Three Études on a sequence transformation pipeline, arXiv:1803.06408 [math.CO], 2018. FORMULA E.g.f.: 1/(6 - 5*exp(x)). a(n) = Sum_{k, 0<=k<=n} A131689(n,k)*5^k. - Philippe Deléham, Nov 03 2008 a(n) ~ n! / (6*(log(6/5))^(n+1)). - Vaclav Kotesovec, Mar 14 2014 MATHEMATICA t = 30; Range[0, t]! CoefficientList[Series[1/(6 - 5 Exp[x]), {x, 0, t}], x] (* Vincenzo Librandi, Mar 16 2014 *) CROSSREFS Sequence in context: A132865 A294051 A145662 * A008543 A057130 A141357 Adjacent sequences:  A094415 A094416 A094417 * A094419 A094420 A094421 KEYWORD nonn AUTHOR Ralf Stephan, May 02 2004 STATUS approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)