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 A376828 #23 Jun 09 2025 01:07:01 %S A376828 0,7,31,50 %N A376828 a(n) = smallest integer k >= 0 such that there exist n disjoint partitions of k that yield the same multinomial coefficient. %C A376828 a(5) > 153 if it exists. - _Max Alekseyev_, May 18 2025 %e A376828 a(2) = 7 is the smallest k such that A376821(k) > 0. %e A376828 | | n partitions of a(n) with a common multinomial coefficient %e A376828 n | a(n) | but no part appearing in more than one of the partitions %e A376828 --+-------+----------------------------------------------------------- %e A376828 1 | 0 | () %e A376828 2 | 7 | (1,1,1,4), (2,2,3) %e A376828 3 | 31 | (1,1,4,4,4,7,10), (2,2,2,2,5,9,9), (3,3,3,6,8,8) %e A376828 4 | 50 | (1,1,1,9,12,26), (2,2,8,11,27), (3,3,3,16,25), (5,6,15,24) %Y A376828 Cf. A376661, A376673, A376821, A376866. %K A376828 nonn,hard,more %O A376828 1,2 %A A376828 _Pontus von Brömssen_, Oct 05 2024 %E A376828 Name edited by _Max Alekseyev_, May 18 2025