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 A261035 #26 May 18 2025 07:50:51
%S A261035 1,-1,-1,-1,2,-1,4,-5,7,-8,10,-15,18,-22,26,-37,46,-53,66,-84,104,
%T A261035 -122,148,-183,224,-263,312,-379,454,-531,626,-750,887,-1034,1208,
%U A261035 -1428,1672,-1936,2250,-2633,3062,-3529,4076,-4728,5460,-6264,7196,-8290,9520,-10875,12431,-14238
%N A261035 A weighted count of the number of overpartitions of n with restricted odd differences.
%C A261035 The number of overpartitions of n counted with weight (-1)^(the largest part) and such that: (i) the difference between successive parts may be odd only if the larger part is overlined and (ii) if the smallest part of the overpartition is odd then it is overlined.
%H A261035 Vaclav Kotesovec, <a href="/A261035/b261035.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Alois P. Heinz)
%H A261035 K. Bringmann, J. Dousse, J. Lovejoy, and K. Mahlburg, <a href="https://doi.org/10.37236/5248">Overpartitions with restricted odd differences</a>, Electron. J. Combin. 22 (2015), no.3, paper 3.17.
%F A261035 G.f.: (Product_{n >= 1} (1+q^(3*n))/(1+q^n)^3) * (1 + 2*Sum_{n >= 1} q^(n*(n+1)/2)*(1+q)^2*(1+q^2)^2*...*(1+q^(n-1))^2*(1+q^n)/((1+q^3)*(1+q^6)*...*(1+q^(3*n)))).
%F A261035 a(n) ~ (-1)^n * exp(2*Pi*sqrt(n)/3) / (2 * 3^(3/2) * n^(3/4)). - _Vaclav Kotesovec_, Jun 12 2019
%Y A261035 Cf. A260890. Equals the convolution of A141094 and A260984.
%K A261035 sign
%O A261035 0,5
%A A261035 _Jeremy Lovejoy_, Aug 07 2015