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 A322787 #14 Mar 05 2025 22:05:30
%S A322787 1,2,2,3,3,5,7,5,7,7,11,23,21,11,15,15,22,79,66,22,30,162,30,42,274,
%T A322787 192,42,56,56,77,1003,1636,1338,565,77,101,101,135,3763,1579,135,176,
%U A322787 19977,10585,176,231,14723,43686,4348,231,297,297,385,59663,298416,82694,11582,385
%N A322787 Irregular triangle read by rows where T(n,k) is the number of non-isomorphic multiset partitions of a multiset with d = A027750(n, k) copies of each integer from 1 to n/d.
%H A322787 Andrew Howroyd, <a href="/A322787/b322787.txt">Table of n, a(n) for n = 1..207</a> (rows 1..50)
%e A322787 Triangle begins:
%e A322787 1
%e A322787 2 2
%e A322787 3 3
%e A322787 5 7 5
%e A322787 7 7
%e A322787 11 23 21 11
%e A322787 15 15
%e A322787 22 79 66 22
%e A322787 30 162 30
%e A322787 42 274 192 42
%e A322787 Non-isomorphic representatives of the multiset partitions counted under row 6:
%e A322787 {123456} {112233} {111222} {111111}
%e A322787 {1}{23456} {1}{12233} {1}{11222} {1}{11111}
%e A322787 {12}{3456} {11}{2233} {11}{1222} {11}{1111}
%e A322787 {123}{456} {112}{233} {111}{222} {111}{111}
%e A322787 {1}{2}{3456} {12}{1233} {112}{122} {1}{1}{1111}
%e A322787 {1}{23}{456} {123}{123} {12}{1122} {1}{11}{111}
%e A322787 {12}{34}{56} {1}{1}{2233} {1}{1}{1222} {11}{11}{11}
%e A322787 {1}{2}{3}{456} {1}{12}{233} {1}{11}{222} {1}{1}{1}{111}
%e A322787 {1}{2}{34}{56} {11}{22}{33} {11}{12}{22} {1}{1}{11}{11}
%e A322787 {1}{2}{3}{4}{56} {11}{23}{23} {1}{12}{122} {1}{1}{1}{1}{11}
%e A322787 {1}{2}{3}{4}{5}{6} {1}{2}{1233} {1}{2}{1122} {1}{1}{1}{1}{1}{1}
%e A322787 {12}{13}{23} {12}{12}{12}
%e A322787 {1}{23}{123} {2}{11}{122}
%e A322787 {2}{11}{233} {1}{1}{1}{222}
%e A322787 {1}{1}{2}{233} {1}{1}{12}{22}
%e A322787 {1}{1}{22}{33} {1}{1}{2}{122}
%e A322787 {1}{1}{23}{23} {1}{2}{11}{22}
%e A322787 {1}{2}{12}{33} {1}{2}{12}{12}
%e A322787 {1}{2}{13}{23} {1}{1}{1}{2}{22}
%e A322787 {1}{2}{3}{123} {1}{1}{2}{2}{12}
%e A322787 {1}{1}{2}{2}{33} {1}{1}{1}{2}{2}{2}
%e A322787 {1}{1}{2}{3}{23}
%e A322787 {1}{1}{2}{2}{3}{3}
%o A322787 (PARI) \\ See A318951 for RowSumMats
%o A322787 row(n)={my(d=divisors(n)); vector(#d, i, RowSumMats(n/d[i], n, d[i]))}
%o A322787 { for(n=1, 15, print(row(n))) } \\ _Andrew Howroyd_, Feb 02 2022
%Y A322787 Row sums are A306017. First column is A000041.
%Y A322787 Cf. A001055, A005176, A027750, A056239, A072774, A100778, A295193, A306018, A318951, A319190, A319612, A322784, A322785, A322788, A322792.
%K A322787 nonn,tabf
%O A322787 1,2
%A A322787 _Gus Wiseman_, Dec 26 2018
%E A322787 Terms a(28) and beyond from _Andrew Howroyd_, Feb 02 2022
%E A322787 Name edited by _Peter Munn_, Mar 05 2025