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 A325227 #6 Apr 13 2019 08:11:29 %S A325227 0,0,1,0,2,0,0,2,1,0,0,2,3,0,0,0,2,4,1,0,0,0,2,6,3,0,0,0,0,2,6,6,1,0, %T A325227 0,0,0,2,8,9,3,0,0,0,0,0,2,8,13,6,1,0,0,0,0,0,2,10,16,11,3,0,0,0,0,0, %U A325227 0,2,10,20,17,6,1,0,0,0,0,0,0 %N A325227 Regular triangle read by rows where T(n,k) is the number of integer partitions of n such that the lesser of the maximum part and the number of parts is k. %H A325227 FindStat, <a href="http://www.findstat.org/StatisticsDatabase/St000533">St000533: The maximal number of non-attacking rooks on a Ferrers shape</a> %e A325227 Triangle begins: %e A325227 1 %e A325227 2 0 %e A325227 2 1 0 %e A325227 2 3 0 0 %e A325227 2 4 1 0 0 %e A325227 2 6 3 0 0 0 %e A325227 2 6 6 1 0 0 0 %e A325227 2 8 9 3 0 0 0 0 %e A325227 2 8 13 6 1 0 0 0 0 %e A325227 2 10 16 11 3 0 0 0 0 0 %e A325227 2 10 20 17 6 1 0 0 0 0 0 %e A325227 2 12 24 25 11 3 0 0 0 0 0 0 %e A325227 2 12 28 33 19 6 1 0 0 0 0 0 0 %e A325227 2 14 32 44 29 11 3 0 0 0 0 0 0 0 %e A325227 2 14 38 53 43 19 6 1 0 0 0 0 0 0 0 %e A325227 Row n = 9 counts the following partitions: %e A325227 (9) (54) (333) (4221) (51111) %e A325227 (111111111) (63) (432) (4311) %e A325227 (72) (441) (5211) %e A325227 (81) (522) (6111) %e A325227 (22221) (531) (42111) %e A325227 (222111) (621) (411111) %e A325227 (2211111) (711) %e A325227 (21111111) (3222) %e A325227 (3321) %e A325227 (32211) %e A325227 (33111) %e A325227 (321111) %e A325227 (3111111) %t A325227 Table[Length[Select[IntegerPartitions[n],Min[Length[#],Max[#]]==k&]],{n,15},{k,n}] %Y A325227 Column k = 2 is A265283. Column k = 3 is A325228. %Y A325227 Cf. A051924, A096771, A115720, A263297, A325188, A325189, A325192, A325193, A325194, A325224, A325225, A325229, A325232. %K A325227 nonn,tabl %O A325227 1,5 %A A325227 _Gus Wiseman_, Apr 12 2019