A192692 - OEIS

A192692

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)

2, 8, 21, 48, 93, 170, 285, 452, 674, 985, 1379, 1894, 2524, 3307, 4272, 5414, 6790, 8406, 10290, 12475, 14998, 17857, 21159, 24847, 29047, 33708, 38944, 44737, 51180, 58301, 66094, 74687, 84097, 94333, 105510, 117600, 130807, 144983, 160325, 176837

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column (1,5,n) of A192710

LINKS

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

EXAMPLE

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

.-2.-1..1..1..1...-2.-1..0..1..2...-1.-1..0..1..1...-2..0..0..1..1

CROSSREFS

Sequence in context: A062443 A275740 A141582 * A182704 A000160 A034519

Adjacent sequences: A192689 A192690 A192691 * A192693 A192694 A192695

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved