This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A277511 E.g.f.: -LambertW(-x)/(1+x). 2
 0, 1, 0, 9, 28, 485, 4866, 83587, 1428456, 30190617, 698093830, 18258392471, 523907661036, 16487285529013, 562892775847962, 20749534387671195, 820928954404107856, 34705399650797034929, 1561214366024349903246, 74464277343448593371167, 3753594453131028132576660 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS G. C. Greubel, Table of n, a(n) for n = 0..385 FORMULA For n > 0, a(n) = Sum_{k=1..n} (-1)^(n-k) * binomial(n,k) * k^(k-1) * (n-k)!. a(n) ~ n^(n-1) / (1+exp(-1)). MATHEMATICA CoefficientList[Series[-LambertW[-x]/(1+x), {x, 0, 20}], x] * Range[0, 20]! Flatten[{0, Table[Sum[(-1)^(n-k) * Binomial[n, k] * k^(k-1) * (n-k)!, {k, 1, n}], {n, 1, 20}]}] PROG (PARI) x='x+O('x^50); concat([0], Vec(serlaplace(-lambertw(-x)/(1+x)))) \\ G. C. Greubel, Nov 12 2017 CROSSREFS Cf. A000169, A277505. Sequence in context: A042501 A271185 A306843 * A041154 A024121 A205144 Adjacent sequences:  A277508 A277509 A277510 * A277512 A277513 A277514 KEYWORD nonn AUTHOR Vaclav Kotesovec, Oct 18 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 17 17:08 EDT 2019. Contains 326059 sequences. (Running on oeis4.)