A192695 Number of 1X8 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 8-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations)

2, 10, 42, 147, 415, 1040, 2336, 4841, 9324, 17035, 29556, 49428, 79553, 124531, 189360, 281680, 409383, 584737, 819889, 1133021, 1541844, 2072913, 2751299, 3615478, 4697427, 6051068, 7720384, 9776322, 12276825, 15316939, 18967552

Offset

1,1

Comments

Column (1,8,n) of A192710

Links

R. H. Hardin, Table of n, a(n) for n = 1..90

Example

Some solutions for 1X8 <= 2*4^2
.-4.-1..0..0..1..1..1..2...-3.-1.-1.-1..0..0..3..3...-3.-3.-1..0..1..2..2..2

Crossrefs

Sequence in context: A368678 A083937 A085224 * A181052 A024483 A276666

Adjacent sequences: A192692 A192693 A192694 * A192696 A192697 A192698

Keyword

nonn

Author

R. H. Hardin Jul 07 2011

Status

approved