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%I #3 Sep 11 2012 19:32:34
%S 1,1,1,1,1,2,2,6,12,30,76,224,597,1801,5469,16958,53308,169872,548344,
%T 1791949,5915441,19700851,66148464,223751776,761919971,2610778118,
%U 8998428171,31179152130,108577507149,379879051198
%N Number of nondecreasing arrays of n 1..n integers with the sum of their 3rd powers equal to sum(i^3,i=1..n)
%C Column 3 of A216645
%e All solutions for n=8
%e ..1....3....1....2....2....1
%e ..1....4....2....2....2....2
%e ..4....5....2....2....4....3
%e ..5....6....5....3....4....4
%e ..5....6....5....6....4....5
%e ..5....6....7....7....4....6
%e ..7....6....7....7....8....7
%e ..8....6....7....7....8....8
%K nonn
%O 1,6
%A _R. H. Hardin_ Sep 11 2012
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