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A216630 Number of nondecreasing arrays of n 0..n-1 integers with the sum of their 2nd powers equal to sum(i^2,i=0..n-1).

%I A216630 #7 Jun 02 2025 08:07:10
%S A216630 1,1,1,1,2,4,14,37,105,309,939,2903,8865,28163,90648,297615,989077,
%T A216630 3320885,11280835,38583017,133018026,461630411,1612842357,5667628973,
%U A216630 20019876401,71078302590,253504107762,908014000543,3265037780657
%N A216630 Number of nondecreasing arrays of n 0..n-1 integers with the sum of their 2nd powers equal to sum(i^2,i=0..n-1).
%C A216630 Column 2 of A216635
%H A216630 R. H. Hardin, <a href="/A216630/b216630.txt">Table of n, a(n) for n = 1..49</a>
%e A216630 All solutions for n=6
%e A216630 ..0....0....1....2
%e A216630 ..1....0....2....2
%e A216630 ..2....1....3....2
%e A216630 ..3....2....3....3
%e A216630 ..4....5....4....3
%e A216630 ..5....5....4....5
%K A216630 nonn
%O A216630 1,5
%A A216630 _R. H. Hardin_ Sep 11 2012