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 A281082 #6 Feb 16 2025 08:33:39
%S A281082 1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,
%T A281082 0,0,0,0,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,2,2,
%U A281082 0,0,0,1,1,0,1,1,0,0,0,2,2,0,0,0,1,2,2,1,0,0,1,2,1,0,0,0,0,0,1,2,1,0,1,2,2,1
%N A281082 Expansion of Product_{k>=0} (1 + x^(2*k*(k+1)+1)).
%C A281082 Number of partitions of n into distinct centered square numbers (A001844).
%H A281082 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CenteredSquareNumber.html">Centered Square Number</a>
%H A281082 <a href="/index/Ce#CENTRALCUBE">Index entries for sequences related to centered polygonal numbers</a>
%H A281082 <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>
%F A281082 G.f.: Product_{k>=0} (1 + x^(2*k*(k+1)+1)).
%e A281082 a(66) = 2 because we have [61, 5] and [41, 25].
%t A281082 nmax = 105; CoefficientList[Series[Product[1 + x^(2 k (k + 1) + 1), {k, 0, nmax}], {x, 0, nmax}], x]
%Y A281082 Cf. A001844, A033461, A280951, A281081, A281083, A281084.
%K A281082 nonn
%O A281082 0,67
%A A281082 _Ilya Gutkovskiy_, Jan 14 2017