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 A292519 #8 Jul 14 2018 02:51:30
%S A292519 1,-1,1,-2,2,-2,2,-2,2,-2,1,-1,2,-1,1,-3,3,-3,4,-4,5,-6,5,-6,8,-6,6,
%T A292519 -8,6,-6,7,-5,6,-7,5,-7,9,-7,9,-11,9,-11,13,-10,12,-15,12,-14,16,-13,
%U A292519 15,-15,11,-14,15,-11,15,-18,15,-19,23,-21,25,-27,24,-28,28,-24,28,-29,24,-28,31,-25,29,-33,30,-35,36,-35,42
%N A292519 Expansion of Product_{k>=1} 1/(1 + x^(k*(k+1)/2)).
%C A292519 Convolution inverse of A024940.
%C A292519 The difference between the number of partitions of n into an even number of triangular numbers and the number of partitions of n into an odd number of triangular numbers.
%H A292519 Seiichi Manyama, <a href="/A292519/b292519.txt">Table of n, a(n) for n = 0..1000</a>
%H A292519 <a href="/index/Par#part">Index entries for related partition-counting sequences</a>
%F A292519 G.f.: Product_{k>=1} 1/(1 + x^(k*(k+1)/2)).
%t A292519 nmax = 80; CoefficientList[Series[Product[1/(1 + x^(k (k + 1)/2)), {k, 1, nmax}], {x, 0, nmax}], x]
%Y A292519 Cf. A007294, A024940, A280366, A292518.
%K A292519 sign
%O A292519 0,4
%A A292519 _Ilya Gutkovskiy_, Sep 18 2017