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 A292386 #8 Nov 11 2020 09:03:54 %S A292386 1,-1,-3,-3,-1,10,20,36,28,-11,-103,-245,-397,-448,-214,464,1817,3680, %T A292386 5660,6473,4362,-3232,-18428,-41946,-70589,-94890,-96996,-49673,78907, %U A292386 317995,673299,1105044,1491333,1605102,1094914,-479358,-3561322,-8404118,-14781724,-21595744,-26450603,-25329527 %N A292386 Expansion of Product_{k>=1} (1 - x^k)^(k*(k+1)/2). %C A292386 Convolution inverse of A000294 (Euler transform of the triangular numbers). %F A292386 G.f.: Product_{k>=1} (1 - x^k)^(k*(k+1)/2). %t A292386 nmax = 41; CoefficientList[Series[Product[(1 - x^k)^(k (k + 1)/2), {k, 1, nmax}], {x, 0, nmax}], x] %o A292386 (SageMath) # uses[EulerTransform from A166861] %o A292386 b = EulerTransform(lambda n: -binomial(n+1, 2)) %o A292386 print([b(n) for n in range(37)]) # _Peter Luschny_, Nov 11 2020 %Y A292386 Cf. A000294, A027999, A028377. %K A292386 sign %O A292386 0,3 %A A292386 _Ilya Gutkovskiy_, Sep 15 2017