The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A270367 a(n) = (n+1)!*Sum_{k=0..(n-1)/2}((k)!*stirling2(n-k,k+1)/(n-k)!/(k+1)). 0
 0, 2, 3, 10, 35, 191, 1162, 8996, 77877, 786757, 8801276, 110180038, 1508049127, 22568091079, 364984569510, 6360525167496, 118634584548905, 2360362530705801, 49871009321693920, 1115567129580176010, 26332809559025886651 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..20. FORMULA E.g.f.: -(((x+1)*e^x-1)*log(-x*e^x+x+1))/(x*e^x-x). a(n) ~ (n-1)! * (1 + 1/r + r) / r^n, where r = 0.8064659942363268087699282186454... is the root of the equation exp(r) = 1 + 1/r. - Vaclav Kotesovec, Mar 22 2016 MATHEMATICA Table[(n+1)! * Sum[k!*StirlingS2[n-k, k+1]/(n-k)!/(k+1), {k, 0, (n-1)/2}], {n, 0, 20}] (* Vaclav Kotesovec, Mar 22 2016 *) PROG (Maxima) makelist((n)!*coeff(taylor(-(((x+1)*%e^x-1)*log(-x*%e^x+x+1))/(x*%e^x-x), x, 0, 15), x, n), n, 0, 15); a(n):=(n+1)!*sum((k)!*stirling2(n-k, k+1)/(n-k)!/(k+1), k, 0, (n-1)/2); CROSSREFS Cf. A048993. Sequence in context: A358213 A356926 A134959 * A056607 A278051 A060604 Adjacent sequences: A270364 A270365 A270366 * A270368 A270369 A270370 KEYWORD nonn AUTHOR Vladimir Kruchinin, Mar 22 2016 STATUS approved

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

Last modified February 29 03:50 EST 2024. Contains 370401 sequences. (Running on oeis4.)