The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A362655 E.g.f. satisfies A(x) = exp( x * exp(x^3) * A(x) ). 2
 1, 1, 3, 16, 149, 1656, 22567, 369664, 7081209, 155178928, 3830958251, 105267080304, 3187172910517, 105437661606616, 3784329536385231, 146474021771040856, 6081955388047685873, 269686446704697314016, 12719466142269818201299 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. Eric Weisstein's World of Mathematics, Lambert W-Function. FORMULA E.g.f.: exp( -LambertW(-x * exp(x^3)) ). a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^k * (n-3*k+1)^(n-3*k-1) / (k! * (n-3*k)!). PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x*exp(x^3))))) CROSSREFS Cf. A273954, A362654. Cf. A354553, A362674. Sequence in context: A331538 A306397 A264660 * A368451 A214933 A230323 Adjacent sequences: A362652 A362653 A362654 * A362656 A362657 A362658 KEYWORD nonn AUTHOR Seiichi Manyama, Apr 28 2023 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 May 23 02:40 EDT 2024. Contains 372758 sequences. (Running on oeis4.)