login
A192715
Number of 14X2 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 14 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
1
2, 6, 19, 56, 146, 350, 790, 1685, 3421, 6680, 12575, 22923, 40636, 70228, 118550, 196038, 317911, 506487, 793842, 1225546, 1865180, 2802329, 4157823, 6098617, 8848923, 12709523, 18076665, 25480353, 35605456, 49349547, 67866426, 92643950
OFFSET
1,1
COMMENTS
Column (14,2,n) of A192710
LINKS
EXAMPLE
Some solutions for 14X2 <= 2*4^2
.-2..2...-3..3...-3..3...-2..2...-2..2...-2..2...-3..3...-3..3...-1..1...-1..1
.-1..1...-1..1...-1..1...-2..2...-2..2...-1..1...-2..2...-1..1...-1..1...-1..1
.-1..1...-1..1...-1..1...-1..1...-1..1...-1..1...-1..1....0..0...-1..1...-1..1
.-1..1....0..0...-1..1...-1..1...-1..1...-1..1....0..0....0..0...-1..1...-1..1
.-1..1....0..0...-1..1...-1..1....0..0...-1..1....0..0....0..0...-1..1...-1..1
.-1..1....0..0...-1..1....0..0....0..0...-1..1....0..0....0..0...-1..1...-1..1
.-1..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0...-1..1...-1..1
.-1..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0...-1..1...-1..1
.-1..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0...-1..1
.-1..1....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0...-1..1
.-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....0..0....0..0....0..0....0..0....0..0....0..0
CROSSREFS
Sequence in context: A192714 A027098 A183305 * A226433 A121483 A077834
KEYWORD
nonn
AUTHOR
R. H. Hardin Jul 07 2011
STATUS
approved