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 A238312 #19 Aug 24 2025 15:21:24 %S A238312 1,1,2,3,7,11,25,41,82,142,260,436,785,1287,2199,3592,5959,9511,15453, %T A238312 24268,38565,59838,93232,142589,219089,330848,500658,748140,1117856, %U A238312 1651987,2441484,3572470,5223653,7576447,10971112,15775735,22649645,32307553,46001087,65138447,92045412 %N A238312 Square row sums of the table A072233 (A008284). %H A238312 Alois P. Heinz, <a href="/A238312/b238312.txt">Table of n, a(n) for n = 0..1000</a> (first 81 terms from Vincenzo Librandi) %F A238312 a(n) = Sum_{k=0..n} p(n,k)^2, where p(n,k) is the number of partitions of n into k positive parts (A072233, A008284). %t A238312 pnkList[n_] := Table[Length[IntegerPartitions[n, {k}]], {k, 0, n}] %t A238312 Table[Total[Map[#^2 &, pnkList[n]]], {n, 0, 40}] %Y A238312 Cf. A000290, A008284, A072233. %K A238312 nonn,changed %O A238312 0,3 %A A238312 _Emanuele Munarini_, Feb 24 2014