The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A363606 Expansion of Sum_{k>0} x^(2*k)/(1-x^k)^6. 6
 0, 1, 6, 22, 56, 133, 252, 484, 798, 1344, 2002, 3157, 4368, 6441, 8630, 12112, 15504, 21274, 26334, 35014, 42762, 55133, 65780, 84349, 98336, 123124, 143304, 176373, 201376, 247380, 278256, 336744, 379000, 451402, 502250, 600055, 658008, 775733, 855042 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 FORMULA G.f.: Sum_{k>0} binomial(k+3,5) * x^k/(1 - x^k). a(n) = Sum_{d|n} binomial(d+3,5). MATHEMATICA a[n_] := DivisorSum[n, Binomial[# + 3, 5] &]; Array[a, 40] (* Amiram Eldar, Jul 25 2023 *) PROG (PARI) my(N=40, x='x+O('x^N)); concat(0, Vec(sum(k=1, N, x^(2*k)/(1-x^k)^6))) CROSSREFS Cf. A032741, A065608, A069153, A363604, A363605. Sequence in context: A034134 A081441 A363614 * A366448 A127760 A320243 Adjacent sequences: A363603 A363604 A363605 * A363607 A363608 A363609 KEYWORD nonn,easy AUTHOR Seiichi Manyama, Jun 11 2023 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 17 18:36 EDT 2024. Contains 373463 sequences. (Running on oeis4.)