The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A330021 Expansion of e.g.f. exp(sinh(exp(x) - 1)). 1
 1, 1, 2, 6, 25, 128, 754, 5001, 37048, 303930, 2732395, 26657106, 280039786, 3149224991, 37729906686, 479570263690, 6442902231289, 91186621152460, 1355582225366134, 21112253012491481, 343672026658191836, 5834977672879651390, 103130592695715620419 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Stirling transform of A003724. Exponential transform of A024429. LINKS FORMULA a(n) = Sum_{k=0..n} Stirling2(n,k) * A003724(k). a(0) = 1; a(n) = Sum_{k=1..n} binomial(n-1,k-1) * A024429(k) * a(n-k). MATHEMATICA nmax = 22; CoefficientList[Series[Exp[Sinh[Exp[x] - 1]], {x, 0, nmax}], x] Range[0, nmax]! CROSSREFS Cf. A003724, A009218, A011800, A024429, A080831. Sequence in context: A030907 A325576 A130619 * A181594 A030915 A030921 Adjacent sequences:  A330018 A330019 A330020 * A330022 A330023 A330024 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Nov 27 2019 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 November 30 03:03 EST 2021. Contains 349416 sequences. (Running on oeis4.)