This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A105796 "Stirling-Bernoulli transform" of Jacobsthal numbers. 3
 0, 1, 1, 13, 25, 541, 1561, 47293, 181945, 7087261, 34082521, 1622632573, 9363855865, 526858348381, 3547114323481, 230283190977853, 1771884893993785, 130370767029135901, 1128511554418948441, 92801587319328411133, 892562598748128067705, 81124824998504073881821 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..425 FORMULA E.g.f.: e^x*(1-e^x)/((2-e^x)*(1-2*e^x)). a(n) = Sum_{k=0..n} (-1)^(n-k) * k! * S2(n,k) * A001045(k). a(n) ~ n! * (2-(-1)^n)/(6*log(2)^(n+1)). - Vaclav Kotesovec, Sep 26 2013 a(n) = Sum_{k = 0..n} (-1)^(n-k)*A131689(n,k)*A001045(k). - Philippe Deléham, May 25 2015 MAPLE a:= n-> -add((-1)^k*k!*Stirling2(n+1, k+1)*(<<0|1>, <2|1>>^k)[1, 2], k=0..n): seq(a(n), n=0..23);  # Alois P. Heinz, May 09 2018 MATHEMATICA CoefficientList[Series[E^x*(1-E^x)/((2-E^x)*(1-2*E^x)), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Sep 26 2013 *) CROSSREFS Cf. A050946. Sequence in context: A295794 A122003 A123827 * A226051 A238338 A040156 Adjacent sequences:  A105793 A105794 A105795 * A105797 A105798 A105799 KEYWORD easy,nonn AUTHOR Paul Barry, Apr 20 2005 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.

Last modified October 14 08:54 EDT 2019. Contains 327995 sequences. (Running on oeis4.)