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Number of nondecreasing arrays of n 1..n integers with the sum of their 3rd powers equal to sum(i^3,i=1..n)
0

%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