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 A347587 #5 Sep 08 2021 08:01:03
%S A347587 1,1,1,2,2,3,4,5,6,8,10,12,15,18,22,27,32,38,46,54,64,75,88,102,119,
%T A347587 137,158,181,207,235,268,302,341,383,430,480,536,595,661,731,808,889,
%U A347587 979,1073,1176,1285,1403,1527,1662,1803,1956,2116,2288,2468,2662,2864,3080,3306,3547
%N A347587 Number of partitions of n into at most 5 distinct parts.
%H A347587 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,0,0,-1,-1,-1,1,1,1,0,0,-1,-1,1).
%F A347587 G.f.: Sum_{k=0..5} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
%t A347587 nmax = 58; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 0, 5}], {x, 0, nmax}], x]
%t A347587 LinearRecurrence[{1, 1, 0, 0, -1, -1, -1, 1, 1, 1, 0, 0, -1, -1, 1}, {1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22}, 59]
%Y A347587 Cf. A001401, A014591, A065033, A347586, A347588.
%K A347587 nonn,easy
%O A347587 0,4
%A A347587 _Ilya Gutkovskiy_, Sep 08 2021