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A192712
Number of 11X2 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 11 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
1
2, 6, 19, 51, 126, 285, 604, 1208, 2310, 4237, 7513, 12885, 21536, 35072, 55893, 87271, 133793, 201572, 299171, 437546, 631447, 900231, 1268643, 1768448, 2440754, 3336495, 4520239, 6073339, 8095214, 10708816, 14066591, 18351402, 23788458
OFFSET
1,1
COMMENTS
Column (11,2,n) of A192710
LINKS
EXAMPLE
Some solutions for 11X2 <= 2*4^2
.-1..1...-3..3...-3..3...-3..3...-2..2...-1..1...-2..2...-3..3...-2..2...-3..3
..0..0...-2..2...-1..1...-2..2...-2..2...-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...-1..1...-1..1...-1..1....0..0...-1..1...-1..1...-1..1....0..0
..0..0....0..0...-1..1...-1..1...-1..1....0..0...-1..1....0..0....0..0....0..0
..0..0....0..0....0..0....0..0...-1..1....0..0...-1..1....0..0....0..0....0..0
..0..0....0..0....0..0....0..0...-1..1....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....0..0....0..0
..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....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: A192709 A034533 A192711 * A214948 A192713 A014559
KEYWORD
nonn
AUTHOR
R. H. Hardin Jul 07 2011
STATUS
approved