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A192701 Number of 3X2 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 3 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations) 1
2, 5, 10, 16, 27, 42, 58, 80, 110, 143, 182, 226, 281, 343, 413, 489, 576, 676, 783, 901, 1035, 1172, 1328, 1493, 1674, 1872, 2086, 2308, 2544, 2805, 3069, 3364, 3679, 4000, 4348, 4709, 5096, 5493, 5926, 6366, 6832, 7330, 7841, 8380, 8950, 9528, 10134, 10766 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column (3,2,n) of A192710

LINKS

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

EXAMPLE

Some solutions for 3X2 <= 2*4^2

.-3..3...-1..1...-1..1...-4..4...-2..2...-2..2...-3..3...-2..2...-3..3....0..0

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

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

CROSSREFS

Sequence in context: A047992 A079984 A027613 * A258601 A264300 A326763

Adjacent sequences:  A192698 A192699 A192700 * A192702 A192703 A192704

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved

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Last modified January 29 04:57 EST 2020. Contains 331335 sequences. (Running on oeis4.)