%I #16 Jan 10 2020 13:17:40
%S 0,0,2,2,4,6,10,14,20,28,40,54,74,98,132,172,226,292,380,484,620,784,
%T 994,1246,1564,1946,2424,2996,3702,4548,5586,6822,8326,10118,12284,
%U 14854,17944,21602,25978,31144,37292,44534,53122,63204,75112,89066,105486,124676,147186,173432
%N Number of non-self-conjugate partitions of n.
%C Also number of asymmetric Ferrers graphs with n nodes.
%F a(n) = A000041(n) - A000700(n).
%F a(n) = 2*A000701(n).
%e For n = 5 the partitions of 5 and their respective Ferrers graphs are as follows:
%e .
%e 5 * * * * * 4 * * * * 3 * * * 3 * * * 2 * * 2 * * 1 *
%e 1 * 2 * * 1 * 2 * * 1 * 1 *
%e 1 * 1 * 1 * 1 *
%e 1 * 1 *
%e 1 *
%e The number 5 has seven partitions, and one of them [3, 1, 1] is a self-conjugate partition, hence the number of non-self-conjugate partitions of 5 is 7 - 1 = 6, so a(5) = 6.
%e On the other hand there are six asymmetric Ferrers graphs with n nodes, they are the graphs associated to the partitions [5], [4, 1], [3, 2], [2, 2, 1], [2, 1, 1, 1], [1, 1, 1, 1, 1], so a(5) = 6.
%Y Cf. A000041, A000700, A000701, A046682.
%K nonn
%O 0,3
%A _Omar E. Pol_, Jan 10 2020