login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation to keep the OEIS running. In 2018 we replaced the server with a faster one, added 20000 new sequences, and reached 7000 citations (often saying "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 12 19:33 EST 2018. Contains 318081 sequences. (Running on oeis4.)