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A192700
Number of 2X5 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 2 zero-sum 5-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
1
2, 13, 75, 361, 1355, 4257, 11487, 28113, 62690, 130088, 253378, 470284, 832594, 1423302, 2347627, 3764623, 5870541, 8958955, 13369172, 19590712, 28190894, 39941879, 55749068, 76863446, 104549377, 140705757, 187241581, 246861965
OFFSET
1,1
COMMENTS
Column (2,5,n) of A192710
LINKS
EXAMPLE
Some solutions for 2X5 <= 2*4^2
.-3.-1..0..1..3...-2.-2..1..1..2...-2.-1.-1..2..2...-2.-1..1..1..1
.-2.-1..0..1..2...-2..0..0..0..2...-1.-1..0..1..1...-2..0..0..1..1
CROSSREFS
Sequence in context: A307288 A154357 A161130 * A007509 A077413 A024199
KEYWORD
nonn
AUTHOR
R. H. Hardin Jul 07 2011
STATUS
approved