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%I #3 Sep 11 2012 19:33:03
%S 1,1,1,1,1,1,2,2,5,11,25,51,136,367,886,2507,6986,20453,60708,172073,
%T 524771,1628140,5085497
%N Number of nondecreasing arrays of n 1..n integers with the sum of their 4th powers equal to sum(i^4,i=1..n)
%C Column 4 of A216645
%e All solutions for n=9
%e ..3....1....1....1....1
%e ..3....3....2....1....1
%e ..4....3....3....2....1
%e ..5....5....4....2....2
%e ..6....6....5....4....5
%e ..7....6....6....5....7
%e ..7....6....7....6....8
%e ..8....8....8....9....8
%e ..8....9....9....9....8
%K nonn
%O 1,7
%A _R. H. Hardin_ Sep 11 2012