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Number of nondecreasing arrays of n 0..n-1 integers with the sum of their 4th powers equal to sum(i^4,i=0..n-1)
0

%I #3 Sep 11 2012 05:33:04

%S 1,1,1,1,1,1,2,3,6,12,24,63,164,424,1163,2919,8289,24060,70704,212130,

%T 672520,2080293,6485878,20449084

%N Number of nondecreasing arrays of n 0..n-1 integers with the sum of their 4th powers equal to sum(i^4,i=0..n-1)

%C Column 4 of A216635

%e All solutions for n=9

%e ..1....0....0....0....0....0

%e ..4....0....1....1....0....0

%e ..4....1....2....3....1....3

%e ..4....3....3....3....2....3

%e ..4....6....4....5....4....3

%e ..5....6....5....6....6....3

%e ..5....6....6....6....7....4

%e ..7....7....7....6....7....8

%e ..8....7....8....8....7....8

%K nonn

%O 1,7

%A _R. H. Hardin_ Sep 11 2012