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Number of 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
1

%I #5 Mar 31 2012 12:36:20

%S 2,8,21,48,93,170,285,452,674,985,1379,1894,2524,3307,4272,5414,6790,

%T 8406,10290,12475,14998,17857,21159,24847,29047,33708,38944,44737,

%U 51180,58301,66094,74687,84097,94333,105510,117600,130807,144983,160325,176837

%N Number of 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)

%C Column (1,5,n) of A192710

%H R. H. Hardin, <a href="/A192692/b192692.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 1X5 <= 2*4^2

%e .-2.-1..1..1..1...-2.-1..0..1..2...-1.-1..0..1..1...-2..0..0..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 07 2011