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.

A038067 Product_{k>=1} (1 + x^k)^a(k) = 1 + 2x.

This page as a plain text file.
%I A038067 #24 Apr 13 2025 07:13:33
%S A038067 2,-1,2,-4,6,-9,18,-34,56,-99,186,-344,630,-1161,2182,-4114,7710,
%T A038067 -14532,27594,-52476,99858,-190557,364722,-699214,1342176,-2580795,
%U A038067 4971008,-9587556,18512790,-35790267,69273666,-134219794,260300986
%N A038067 Product_{k>=1} (1 + x^k)^a(k) = 1 + 2x.
%H A038067 Seiichi Manyama, <a href="/A038067/b038067.txt">Table of n, a(n) for n = 1..3000</a>
%H A038067 Laura Pierson, <a href="https://arxiv.org/abs/2408.01395">A power sum expansion for the Kromatic symmetric function</a>, arXiv:2408.01395 [math.CO], 2024. See p. 5.
%H A038067 N. J. A. Sloane, <a href="/transforms.txt">Weigh transform</a>
%F A038067 Dirichlet convolution of A038063 with characteristic function of powers of 2.
%F A038067 a(n) = (1/n) * (-(-2)^n + Sum_{d<n and d divides n} (-1)^(n/d) * d * a(d)). - _Vladeta Jovovic_, Sep 06 2002
%Y A038067 Cf. A038063-A038070, A306156.
%K A038067 sign
%O A038067 1,1
%A A038067 _Christian G. Bower_, Jan 04 1999