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A192713 Number of 12X2 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 12 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations) 1
2, 6, 19, 53, 133, 310, 669, 1371, 2684, 5037, 9125, 16021, 27343, 45523, 74103, 118121, 184828, 284258, 430192, 641623, 944008, 1371445, 1968786, 2795325, 3927604, 5465114, 7534219, 10297413, 13958709, 18775675, 25067921, 33235421 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column (12,2,n) of A192710

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..65

EXAMPLE

Some solutions for 12X2 <= 2*4^2

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

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

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A192711 A192712 A214948 * A014559 A192714 A027098

Adjacent sequences:  A192710 A192711 A192712 * A192714 A192715 A192716

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 07 2011

STATUS

approved

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Last modified May 28 07:01 EDT 2022. Contains 354112 sequences. (Running on oeis4.)