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).
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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..56
Comments