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A216632 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).

%I A216632 #5 Jun 02 2025 08:07:23
%S A216632 1,1,1,1,1,1,2,3,6,12,24,63,164,424,1163,2919,8289,24060,70704,212130,
%T A216632 672520,2080293,6485878,20449084
%N A216632 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 A216632 Column 4 of A216635
%e A216632 All solutions for n=9
%e A216632 ..1....0....0....0....0....0
%e A216632 ..4....0....1....1....0....0
%e A216632 ..4....1....2....3....1....3
%e A216632 ..4....3....3....3....2....3
%e A216632 ..4....6....4....5....4....3
%e A216632 ..5....6....5....6....6....3
%e A216632 ..5....6....6....6....7....4
%e A216632 ..7....7....7....6....7....8
%e A216632 ..8....7....8....8....7....8
%K A216632 nonn
%O A216632 1,7
%A A216632 _R. H. Hardin_ Sep 11 2012