|
|
A192696
|
|
Number of 1X9 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 1 zero-sum 9-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)
|
|
1
|
|
|
2, 10, 48, 185, 577, 1570, 3840, 8577, 17690, 34551, 63830, 112942, 192361, 317003, 506670, 789958, 1201985, 1791493, 2619745, 3765999, 5326330, 7428899, 10220081, 13894828, 18669185, 24830564, 32689442, 42659878, 55175883, 70815315, 90176720
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
EXAMPLE
|
Some solutions for 1X9 <= 2*4^2
.-3.-2..0..0..1..1..1..1..1...-2.-2.-1.-1.-1..0..1..3..3
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|