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%I A115724 #9 Nov 03 2012 16:18:23
%S A115724 1,1,3,5,16,16,76,53,218,303,750,412,3680,1361,5015,9206,23162,8290,
%T A115724 66166,19936,161656,192181,236007,100730,1338186,819694,1180478,
%U A115724 1924986,5215844,1246468,17370367,3098322,24926724,23473968,24790503,41886304,227243488
%N A115724 Number of partitions with maximum rectangle n.
%H A115724 Alois P. Heinz, <a href="/A115724/b115724.txt">Table of n, a(n) for n = 0..100</a>
%H A115724 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FerrersDiagram.html">Ferrers Diagram.</a>
%F A115724 a(n) = A115725(n) - A115725(n-1).
%e A115724 The 16 partitions with maximum rectangle 4 are [4], [2^2], [1^4], [4,1], [3,2], [2^2,1], [2,1^3], [4,2], [4,1^2], [3,2,1], [3,1^3], [2^2,1^2], [4,2,1], [4,1^3], [3,2,1^2] and [4,2,1^2].
%Y A115724 Cf. A115725, A115723, A115726, A115727.
%K A115724 nonn
%O A115724 0,3
%A A115724 _Franklin T. Adams-Watters_, Mar 11 2006

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