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A192694 Number of 1X7 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 7-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 2,9,36,110,277,634,1304,2492,4430,7559,12260,19272,29251,43339,62515,

%T 88501,122666,167322,224735,297919,389439,504010,644682,817003,

%U 1025762,1278054,1578938,1938210,2360862,2859571,3441853,4122058,4907573,5817118

%N Number of 1X7 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 7-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)

%C Column (1,7,n) of A192710

%H R. H. Hardin, <a href="/A192694/b192694.txt">Table of n, a(n) for n = 1..141</a>

%e Some solutions for 1X7 <= 2*4^2

%e .-2.-2.-2..0..1..1..4...-2.-2.-1..0..1..2..2...-2.-2..0..1..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 07 2011

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Last modified July 15 09:15 EDT 2024. Contains 374324 sequences. (Running on oeis4.)