The OEIS is supported by the many generous donors to the OEIS 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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A189087 E.g.f.: sinh(x)/(1-sinh(x)-sinh(x)^2). 1
 1, 2, 13, 80, 721, 7232, 87613, 1193600, 18431041, 315130112, 5936395213, 121904337920, 2712867153361, 65005861947392, 1669061195146813, 45709411009495040, 1330071346341607681, 40979304201240707072, 1332713597815933766413, 45623097880495676456960 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Robert Israel, Table of n, a(n) for n = 1..413 FORMULA a(n) = sum(k=1..n, sum(i=0..k, (-1)^i*(k-2*i)^n * binomial(k,i)) / (2^k) * A000045(k)). a(n) ~ n! * sqrt(5-sqrt(5))/(5*sqrt(2))/(arcsinh(sqrt(5)/2-1/2))^(n+1). - Vaclav Kotesovec, Jun 27 2013 MAPLE h:= sinh(x)/(1-sinh(x)-sinh(x)^2): S:= series(h, x, 61): seq(coeff(S, x, j)*j!, j=1..60); # Robert Israel, Jun 23 2017 MATHEMATICA CoefficientList[Series[Sinh[x]/(1-Sinh[x]-Sinh[x]^2), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 27 2013 *) PROG (Maxima) a(n):=sum(sum((-1)^i*(k-2*i)^n*binomial(k, i), i, 0, k)/(2^k)*fib(k), k, 1, n); CROSSREFS Cf. A000045. Sequence in context: A000179 A335700 A246383 * A037739 A037634 A074581 Adjacent sequences: A189084 A189085 A189086 * A189088 A189089 A189090 KEYWORD nonn AUTHOR Vladimir Kruchinin, Apr 20 2011 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 December 5 19:04 EST 2022. Contains 358588 sequences. (Running on oeis4.)