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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A371009 Expansion of e.g.f. (1/x) * Series_Reversion( 2*x/(3 - exp(2*x)) ). 1
 1, -1, 0, 8, -16, -336, 2464, 30176, -572160, -3654400, 193852928, -29664768, -88869165056, 788014352384, 51013392617472, -1125131950034944, -33201578814668800, 1536045242886979584, 19518336239699623936, -2267097378027280924672 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..19. Index entries for reversions of series FORMULA a(n) = 1/(2*(n+1)) * Sum_{k=0..n+1} (-1)^k * 3^(n+1-k) * k^n * binomial(n+1,k). PROG (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(serreverse(2*x/(3-exp(2*x)))/x)) (PARI) a(n) = sum(k=0, n+1, (-1)^k*3^(n+1-k)*k^n*binomial(n+1, k))/(2*(n+1)); CROSSREFS Cf. A371007, A371008. Sequence in context: A276978 A265094 A285060 * A369646 A061747 A109585 Adjacent sequences: A371006 A371007 A371008 * A371010 A371011 A371012 KEYWORD sign AUTHOR Seiichi Manyama, Mar 08 2024 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 September 14 02:27 EDT 2024. Contains 375910 sequences. (Running on oeis4.)