cp's OEIS Frontend

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.

A334926 G.f.: Sum_{k>=1} x^(k*(2*k^2 + 1)/3) / (1 - x^(k*(2*k^2 + 1)/3)).

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%I A334926 #11 Feb 16 2025 08:34:00
%S A334926 1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,
%T A334926 1,2,1,2,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,2,1,1,
%U A334926 1,1,1,2,1,1,1,2,1,2,1,1,1,1,1,2,2,1,1,2,1,2,1,1,1,1,2,2,1,1,1,1
%N A334926 G.f.: Sum_{k>=1} x^(k*(2*k^2 + 1)/3) / (1 - x^(k*(2*k^2 + 1)/3)).
%C A334926 Number of octahedral numbers (A005900) dividing n.
%H A334926 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/OctahedralNumber.html">Octahedral Number</a>.
%F A334926 Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = A175577 = 1.278185... . - _Amiram Eldar_, Jan 02 2024
%t A334926 nmax = 100; CoefficientList[Series[Sum[x^(k (2 k^2 + 1)/3)/(1 - x^(k (2 k^2 + 1)/3)), {k, 1, nmax}], {x, 0, nmax}], x] // Rest
%Y A334926 Cf. A005900, A061704, A175577, A279495, A279496, A300410, A334925.
%K A334926 nonn
%O A334926 1,6
%A A334926 _Ilya Gutkovskiy_, May 16 2020