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 A281084 #9 Feb 16 2025 08:33:39
%S A281084 1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,
%T A281084 0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,
%U A281084 1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,2,2,0,0,0,0,0,1
%N A281084 Expansion of Product_{k>=0} (1 + x^(3*k*(k+1)+1)).
%C A281084 Number of partitions of n into distinct centered hexagonal numbers (A003215).
%H A281084 G. C. Greubel, <a href="/A281084/b281084.txt">Table of n, a(n) for n = 0..1000</a>
%H A281084 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HexNumber.html">Hex Number</a>
%H A281084 <a href="/index/Ce#CENTRALCUBE">Index entries for sequences related to centered polygonal numbers</a>
%H A281084 <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>
%F A281084 G.f.: Product_{k>=0} (1 + x^(3*k*(k+1)+1)).
%e A281084 a(98) = 2 because we have [91, 7] and [61, 37].
%t A281084 nmax = 105; CoefficientList[Series[Product[1 + x^(3 k (k + 1) + 1), {k, 0, nmax}], {x, 0, nmax}], x]
%Y A281084 Cf. A003215, A279279, A280953, A281081, A281082, A281083.
%K A281084 nonn
%O A281084 0,99
%A A281084 _Ilya Gutkovskiy_, Jan 14 2017