This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A022701 Expansion of Product_{m>=1} 1/(1 + m*q^m)^9. 2
 1, -9, 27, -30, 72, -387, 738, -801, 2889, -8119, 13005, -25038, 57735, -122643, 247788, -432786, 862497, -1944657, 3520721, -6191280, 12743919, -24916977, 45349101, -83116206, 156731304, -299550636, 547421607 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 FORMULA G.f.: exp(-9*Sum_{j>=1} Sum_{k>=1} (-1)^(j+1)*k^j*x^(j*k)/j). - Ilya Gutkovskiy, Feb 08 2018 MATHEMATICA With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-9, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 19 2018 *) PROG (PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^-9)) \\ G. C. Greubel, Jul 19 2018 CROSSREFS Column k=9 of A297325. Sequence in context: A255622 A209511 A115148 * A276003 A255343 A108107 Adjacent sequences:  A022698 A022699 A022700 * A022702 A022703 A022704 KEYWORD sign AUTHOR 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 December 12 07:31 EST 2019. Contains 329948 sequences. (Running on oeis4.)