cp's OEIS Frontend

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).

%I A192694 #7 Jun 02 2025 04:12:17
%S A192694 2,9,36,110,277,634,1304,2492,4430,7559,12260,19272,29251,43339,62515,
%T A192694 88501,122666,167322,224735,297919,389439,504010,644682,817003,
%U A192694 1025762,1278054,1578938,1938210,2360862,2859571,3441853,4122058,4907573,5817118
%N 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).
%C A192694 Column (1,7,n) of A192710
%H A192694 R. H. Hardin, <a href="/A192694/b192694.txt">Table of n, a(n) for n = 1..141</a>
%e A192694 Some solutions for 1X7 <= 2*4^2
%e A192694 .-2.-2.-2..0..1..1..4...-2.-2.-1..0..1..2..2...-2.-2..0..1..1..1..1
%K A192694 nonn
%O A192694 1,1
%A A192694 _R. H. Hardin_ Jul 07 2011