A192704 Number of 4X3 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 4 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)

2, 10, 45, 191, 639, 1925, 5059, 12197, 27061, 55957, 109220, 204227, 361922, 621790, 1032797, 1662821, 2607574, 4007507, 5999290, 8835971, 12784870, 18186200, 25491781, 35326689, 48192368, 65114102, 87009836, 115061673, 150717188

Offset

1,1

Comments

Column (4,3,n) of A192710

Links

R. H. Hardin, Table of n, a(n) for n = 1..63

Example

Some solutions for 4X3 <= 2*4^2
.-2..1..1...-2..0..2...-2..0..2...-3..1..2...-3..1..2...-3..1..2...-3..0..3
.-2..1..1...-2..1..1...-2..0..2...-2..0..2...-1.-1..2...-3..1..2...-2..0..2
.-2..1..1...-1.-1..2...-1.-1..2...-1.-1..2...-1.-1..2....0..0..0...-2..1..1
.-2..1..1...-1.-1..2....0..0..0...-1..0..1....0..0..0....0..0..0....0..0..0

Crossrefs

Sequence in context: A145239 A068561 A068484 * A005963 A140588 A137334

Adjacent sequences: A192701 A192702 A192703 * A192705 A192706 A192707

Keyword

nonn

Author

R. H. Hardin Jul 07 2011

Status

approved