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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A336991 Expansion of Product_{k>=1} (1 - x^k / (1 - k*x)). 2
 1, -1, -2, -3, -5, -10, -27, -91, -350, -1459, -6466, -30258, -149051, -771157, -4181702, -23718221, -140437759, -866481074, -5561061327, -37066185842, -256190732502, -1833581728979, -13571059095383, -103744579461855, -818183156375886, -6649600332967494, -55635988924348030 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA G.f.: exp( - Sum_{k>=1} x^k * Sum_{d|k} 1 / (d * (1 - k/d * x)^d)). MATHEMATICA m = 26; CoefficientList[Series[Product[(1 - x^k/(1 - k*x)), {k, 1, m}], {x, 0, m}], x] (* Amiram Eldar, Aug 10 2020 *) PROG (PARI) N=40; x='x+O('x^N); Vec(prod(k=1, N, 1-x^k/(1-k*x))) (PARI) N=40; x='x+O('x^N); Vec(exp(-sum(k=1, N, x^k*sumdiv(k, d, 1/(d*(1-k/d*x)^d))))) CROSSREFS Convolution inverse of A336990. Cf. A307599, A336989. Sequence in context: A296261 A133662 A204518 * A223545 A088938 A000617 Adjacent sequences:  A336988 A336989 A336990 * A336992 A336993 A336994 KEYWORD sign AUTHOR Seiichi Manyama, Aug 10 2020 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 June 18 10:32 EDT 2021. Contains 345098 sequences. (Running on oeis4.)