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A192706 Number of 6X2 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 6 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations) 1
2, 6, 16, 34, 71, 135, 235, 396, 641, 993, 1496, 2193, 3136, 4398, 6065, 8214, 10949, 14438, 18760, 24151, 30736, 38755, 48448, 60129, 73970, 90426, 109793, 132568, 158991, 189853, 225331, 266394, 313294, 367015, 428094, 497667, 575969, 664608 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column (6,2,n) of A192710

LINKS

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

EXAMPLE

Some solutions for 6X2 <= 2*4^2

.-2..2...-3..3...-1..1...-1..1...-2..2...-2..2...-3..3...-3..3...-1..1...-1..1

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

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

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

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

..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0

CROSSREFS

Sequence in context: A182994 A309691 A235792 * A248832 A280400 A199477

Adjacent sequences:  A192703 A192704 A192705 * A192707 A192708 A192709

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved

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Last modified January 17 17:47 EST 2022. Contains 350402 sequences. (Running on oeis4.)