cp's OEIS Frontend

A192693 Number of 1X6 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 6-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).

%I A192693 #8 Jun 02 2025 04:12:12
%S A192693 2,9,28,78,171,350,650,1142,1868,2949,4454,6554,9361,13071,17829,
%T A192693 23929,31576,41080,52705,66899,83871,104326,128432,156793,190022,
%U A192693 228672,273250,324752,383434,450569,526647,612832,709667,818736,940570,1076447,1227802
%N A192693 Number of 1X6 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 6-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).
%C A192693 Column (1,6,n) of A192710
%H A192693 R. H. Hardin, <a href="/A192693/b192693.txt">Table of n, a(n) for n = 1..200</a>
%e A192693 Some solutions for 1X6 <= 2*4^2
%e A192693 .-3.-2..0..0..2..3...-3.-1..0..0..2..2...-3.-1.-1.-1..3..3...-3.-2.-1..1..2..3
%K A192693 nonn
%O A192693 1,1
%A A192693 _R. H. Hardin_ Jul 07 2011