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 A352402 #9 Jun 09 2022 08:45:44
%S A352402 1,-1,-1,-3,-1,-7,-1,-15,31,-63,159,-95,671,-287,3231,-2975,15519,
%T A352402 -7839,44191,-34975,224415,-291999,863391,-990367,2927775,-4902047,
%U A352402 12561567,-27225247,56470687,-102640799,152153247,-422620319,877243551,-2278272159,3357125791
%N A352402 Expansion of Product_{k>=1} 1 / (1 + 2^(k-1)*x^k).
%F A352402 a(n) = Sum_{k=0..n} (-1)^k * p(n,k) * 2^(n-k), where p(n,k) is the number of partitions of n into k parts.
%t A352402 nmax = 34; CoefficientList[Series[Product[1/(1 + 2^(k - 1) x^k), {k, 1, nmax}], {x, 0, nmax}], x]
%t A352402 Table[Sum[(-1)^k Length[IntegerPartitions[n, {k}]] 2^(n - k), {k, 0, n}], {n, 0, 34}]
%Y A352402 Cf. A032302, A070877, A070933, A071109, A075900, A304961, A327550, A337299, A352762.
%K A352402 sign
%O A352402 0,4
%A A352402 _Ilya Gutkovskiy_, Jun 08 2022