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%I #12 Apr 14 2017 23:59:39
%S 1,1,1,4,5,21,84,330,1287,11440,92378,537472,4694482
%N Number of partitions of n^2 that are the sum of n not necessarily distinct partitions of n into distinct parts.
%F a(n) <= binomial(A000009(n)+n-1,n) with equality only for n < 11.
%e a(5) = 21: 55555, 555532, 555541, 5553322, 5554321, 5554411, 55333222, 55433221, 55443211, 55444111, 533332222, 543332221, 544332211, 544432111, 544441111, 3333322222, 4333322221, 4433322211, 4443322111, 4444321111, 4444411111.
%Y Cf. A000009, A002054, A007318, A284645.
%K nonn,more
%O 0,4
%A _Alois P. Heinz_, Apr 05 2017
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