This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A368490 #49 Sep 04 2024 08:48:28
%S A368490 1,2,4,8,14,14,20,24,20,14,32,24,24,48,60,32,62,64,28,40,66,24,48,88,
%T A368490 68,74,120,80,72,60,76,64,84,96,160,96,98,144,80,48,128,84,48,168,168,
%U A368490 98,220,184,88,86,172,64,144,208,200,168,204,160,120,120,128,124,128,168,254,192,240,264,192,88,228,144
%N A368490 Phi-analog of the 5-core partition function.
%C A368490 a_t(n), the phi-analog of the t-core partition function, is defined in the article by Gireesh, Ray and Shivashankar (2021). This sequence is for a_5(n).
%H A368490 S. Bandyopadhyay and N. D. Baruah, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL27/Baruah/bar6.html">Arithmetic Identities for Some Analogs of the 5-Core Partition Function</a>, Journal of Integer Sequences, 27 (2024): Article 24.4.5.
%H A368490 Subhajit Bandyopadhyay and Nayandeep Deka Baruah, <a href="https://arxiv.org/abs/2409.02034">Arithmetic Identities for Some Analogs of 5-core Partition Function</a>, arXiv:2409.02034 [math.NT], 2024.
%H A368490 D. S. Gireesh, C. Ray, and C. Shivashankar, <a href="https://dx.doi.org/10.4064/aa200516-10-12">A new analogue of t-core partitions</a>, Acta Arithmetica, 199 (2021):33-53.
%F A368490 G.f.: phi(-q^5)^5/phi(-q), where phi(q) is the Ramanujan's theta function phi (see A000122).
%o A368490 (PARI)
%o A368490 q='q+O('q^71);
%o A368490 phi(q)=eta(q^2)^5 / (eta(q)*eta(q^4))^2;
%o A368490 gf=phi(-q^5)^5/phi(-q);
%o A368490 Vec(%) \\ _Joerg Arndt_, Dec 27 2023
%Y A368490 Cf. A053723, A368495.
%K A368490 easy,nonn
%O A368490 0,2
%A A368490 _Subhajit Bandyopadhyay_, Dec 27 2023