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)

2, 9, 28, 78, 171, 350, 650, 1142, 1868, 2949, 4454, 6554, 9361, 13071, 17829, 23929, 31576, 41080, 52705, 66899, 83871, 104326, 128432, 156793, 190022, 228672, 273250, 324752, 383434, 450569, 526647, 612832, 709667, 818736, 940570, 1076447, 1227802

Offset

1,1

Comments

Column (1,6,n) of A192710

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Example

Some solutions for 1X6 <= 2*4^2
.-3.-2..0..0..2..3...-3.-1..0..0..2..2...-3.-1.-1.-1..3..3...-3.-2.-1..1..2..3

Crossrefs

Sequence in context: A131066 A341507 A058877 * A368217 A360479 A258347

Adjacent sequences: A192690 A192691 A192692 * A192694 A192695 A192696

Keyword

nonn

Author

R. H. Hardin Jul 07 2011

Status

approved