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 A363600 #13 Jun 11 2023 11:14:55
%S A363600 1,2,6,20,52,140,356,880,2123,5016,11610,26400,59130,130476,284216,
%T A363600 611592,1301344,2740194,5713930,11806144,24184908,49142504,99091244,
%U A363600 198360536,394342884,778818658,1528531702,2982017956,5784365082,11158728448,21413292868
%N A363600 Number of partitions of n into distinct parts where there are k^2+1 kinds of part k.
%F A363600 G.f.: Product_{k>=1} (1+x^k)^(k^2+1).
%F A363600 a(0) = 1; a(n) = (-1/n) * Sum_{k=1..n} ( Sum_{d|k} (-1)^(k/d) * d * (d^2+1) ) * a(n-k).
%o A363600 (PARI) my(N=40, x='x+O('x^N)); Vec(prod(k=1, N, (1+x^k)^(k^2+1)))
%Y A363600 Cf. A027998, A219555, A255834, A363599.
%Y A363600 Cf. A363602.
%K A363600 nonn,easy
%O A363600 0,2
%A A363600 _Seiichi Manyama_, Jun 10 2023
%E A363600 Name suggested by _Joerg Arndt_, Jun 11 2023