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 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A298600 Expansion of Product_{k>=2} 1/(1 + x^(k^2)). 1
 1, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 1, -1, 0, 0, -1, 1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 0, -2, 2, -1, 1, 2, -2, 1, -1, -2, 3, -2, 1, 2, -3, 2, -1, -1, 2, -3, 1, 1, -2, 3, 0, 0, 2, -3, 1, -1, -2, 3, -1, -2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,50 COMMENTS The difference between the number of partitions of n into an even number of squares > 1 and the number of partitions of n into an odd number of squares > 1. LINKS Table of n, a(n) for n=0..82. Index entries for sequences related to sums of squares Index entries for related partition-counting sequences FORMULA G.f.: Product_{k>=2} 1/(1 + x^(k^2)). MATHEMATICA nmax = 82; CoefficientList[Series[Product[1/(1 + x^k^2), {k, 2, Floor[Sqrt[nmax]] + 1}], {x, 0, nmax}], x] CROSSREFS Cf. A001156, A033461, A078134, A276516, A280129, A292520, A298601. Sequence in context: A323116 A218344 A211272 * A292470 A293681 A293773 Adjacent sequences: A298597 A298598 A298599 * A298601 A298602 A298603 KEYWORD sign AUTHOR Ilya Gutkovskiy, Jan 22 2018 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 4 08:33 EST 2023. Contains 367558 sequences. (Running on oeis4.)