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 A281083 #15 Feb 16 2025 08:33:39
%S A281083 1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,
%T A281083 0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,
%U A281083 1,0,0,0,0,1,1,0,1,1,0,0,0,0,2,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,2,2,0,0,0,0,1,1
%N A281083 Expansion of Product_{k>=0} (1 + x^(5*k*(k+1)/2+1)).
%C A281083 Number of partitions of n into distinct centered pentagonal numbers (A005891).
%H A281083 Alois P. Heinz, <a href="/A281083/b281083.txt">Table of n, a(n) for n = 0..20000</a> (first 1001 terms from G. C. Greubel)
%H A281083 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CenteredPentagonalNumber.html">Centered Pentagonal Number</a>
%H A281083 <a href="/index/Ce#CENTRALCUBE">Index entries for sequences related to centered polygonal numbers</a>
%H A281083 <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>
%F A281083 G.f.: Product_{k>=0} (1 + x^(5*k*(k+1)/2+1)).
%e A281083 a(82) = 2 because we have [76, 6] and [51, 31].
%t A281083 nmax = 105; CoefficientList[Series[Product[1 + x^(5 k (k + 1)/2 + 1), {k, 0, nmax}], {x, 0, nmax}], x]
%Y A281083 Cf. A005891, A218380, A280952, A281081, A281082, A281084.
%K A281083 nonn
%O A281083 0,83
%A A281083 _Ilya Gutkovskiy_, Jan 14 2017