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 A325194 #4 Apr 13 2019 22:16:04
%S A325194 1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,
%T A325194 0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,2,4,2,0,0,0,0,0,
%U A325194 0,0,0,0,2,5,1,0,0,0,0,0,0,0,0,0,2,4,7,1,0,0,0
%N A325194 Regular triangle read by rows where T(n,k) is the number of integer partitions of n with co-rank n - k, where co-rank is the greater of the length and the largest part.
%e A325194 Triangle begins:
%e A325194 1
%e A325194 0 0
%e A325194 0 1 0
%e A325194 0 0 0 0
%e A325194 0 0 2 0 0
%e A325194 0 0 0 1 0 0
%e A325194 0 0 0 2 1 0 0
%e A325194 0 0 0 0 2 0 0 0
%e A325194 0 0 0 0 2 3 0 0 0
%e A325194 0 0 0 0 0 2 3 0 0 0
%e A325194 0 0 0 0 0 2 4 2 0 0 0
%e A325194 0 0 0 0 0 0 2 5 1 0 0 0
%e A325194 0 0 0 0 0 0 2 4 7 1 0 0 0
%e A325194 0 0 0 0 0 0 0 2 6 6 0 0 0 0
%e A325194 0 0 0 0 0 0 0 2 4 9 7 0 0 0 0
%e A325194 0 0 0 0 0 0 0 0 2 6 11 5 0 0 0 0
%e A325194 0 0 0 0 0 0 0 0 2 4 10 14 5 0 0 0 0
%e A325194 0 0 0 0 0 0 0 0 0 2 6 13 15 3 0 0 0 0
%e A325194 0 0 0 0 0 0 0 0 0 2 4 10 19 17 2 0 0 0 0
%e A325194 0 0 0 0 0 0 0 0 0 0 2 6 14 22 17 1 0 0 0 0
%e A325194 0 0 0 0 0 0 0 0 0 0 2 4 10 21 29 17 1 0 0 0 0
%e A325194 Row n = 16 counts the following partitions:
%e A325194 (8) (72) (64) (533) (444)
%e A325194 (11111111) (711) (622) (542) (3333)
%e A325194 (2211111) (631) (551) (4332)
%e A325194 (3111111) (6211) (5222) (4422)
%e A325194 (61111) (5321) (4431)
%e A325194 (222211) (5411)
%e A325194 (322111) (32222)
%e A325194 (331111) (33221)
%e A325194 (421111) (33311)
%e A325194 (511111) (42221)
%e A325194 (43211)
%e A325194 (44111)
%e A325194 (52211)
%e A325194 (53111)
%t A325194 Table[Length[Select[IntegerPartitions[k],Max[Length[#],Max[#]]==n-k&]],{n,0,10},{k,0,n}]
%Y A325194 Column sums are A000041. Row sums are A325193.
%Y A325194 Cf. A051924, A071724, A096771, A115720, A263297, A325178, A325192.
%K A325194 nonn,tabl
%O A325194 0,13
%A A325194 _Gus Wiseman_, Apr 13 2019