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 A198254 #10 Apr 16 2015 07:13:01 %S A198254 1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,2,1,3,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1, %T A198254 1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1, %U A198254 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1 %N A198254 Number of maximum-diversity partitions of n. %C A198254 A maximum-diversity partition of n is an integer partition whose part distribution maximizes the number of different compositions (=distinct partition orderings) that can be constructed from it. %C A198254 An integer composition of n corresponds to a subgroup of the symmetric group on n element whose cycles are formed of contiguous integers. %H A198254 Alois P. Heinz, <a href="/A198254/b198254.txt">Table of n, a(n) for n = 0..1000</a> %e A198254 For n=17, there are 3 partitions reaching the maximum possible of 7!/2 =2520 distinct orderings : {4, 3, 2, 2, 2, 1, 1, 1, 1}, {4, 3, 2, 2, 1, 1, 1, 1, 1, 1} and {3, 3, 2, 2, 2, 1, 1, 1, 1, 1}. %Y A198254 A102462 gives the number of compositions that can be constructed from a maximum-diversity partition of n. %Y A198254 Cf. A007294, A072811, A080575. %K A198254 nonn,nice %O A198254 0,3 %A A198254 _Olivier Gérard_, Oct 22 2011