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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A330535 Expansion of e.g.f. Product_{k>=1} 1 / (1 - arcsinh(x^k)). 1
 1, 1, 4, 17, 112, 769, 7088, 66387, 763600, 9164721, 126474672, 1820139771, 29458146408, 494179557897, 9100332756552, 174762729699459, 3612983961103776, 77711328568772193, 1784695351000035744, 42494646959739633771 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..19. FORMULA E.g.f.: exp(Sum_{k>=1} Sum_{d|k} arcsinh(x^(k/d))^d / d). MATHEMATICA nmax = 19; CoefficientList[Series[Product[1/(1 - ArcSinh[x^k]), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! nmax = 19; CoefficientList[Series[Exp[Sum[Sum[ArcSinh[x^(k/d)]^d/d, {d, Divisors[k]}], {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]! CROSSREFS Cf. A001818, A330515, A330534. Sequence in context: A077386 A209903 A330514 * A004140 A271612 A240323 Adjacent sequences: A330532 A330533 A330534 * A330536 A330537 A330538 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Dec 17 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 2 11:44 EDT 2023. Contains 363097 sequences. (Running on oeis4.)