A178952 T(n,k)=Log base 2 of the number of nXk binary arrays with no element equal to the modulo 2 sum of its king-move neighbors

0, 1, 1, 0, 3, 0, 0, 3, 3, 0, 1, 4, 0, 4, 1, 0, 6, 0, 0, 6, 0, 0, 6, 3, 0, 3, 6, 0, 1, 7, 0, 4, 4, 0, 7, 1, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 3, 0, 6, 6, 0, 3, 9, 0, 1, 10, 0, 4, 7, 0, 7, 4, 0, 10, 1, 0, 12, 0, 0, 12, 0, 0, 12, 0, 0, 12, 0, 0, 12, 3, 0, 9, 6, 0, 6, 9, 0, 3, 12, 0, 1, 13, 0, 4, 10, 0, 7, 7, 0, 10, 4

Offset

1,5

Comments

Table starts

.0..1.0.0..1.0.0..1.0..0..1..0..0..1..0..0..1..0..0..1..0..0..1..0..0..1..0..0

.1..3.3.4..6.6.7..9.9.10.12.12.13.15.15.16.18.18.19.21.21.22.24.24.25.27.27.28

.0..3.0.0..3.0.0..3.0..0..3..0..0..3..0..0..3..0..0..3..0..0..3..0..0..3..0..0

.0..4.0.0..4.0.0..4.0..0..4..0..0..4..0..0..4..0..0..4..0..0..4..0..0..4..0..0

.1..6.3.4..9.6.7.12.9.10.15.12.13.18.15.16.21.18.19.24.21.22.27.24.25.30.27.28

.0..6.0.0..6.0.0..6.0..0..6..0..0..6..0..0..6..0..0..6..0..0..6..0..0..6..0..0

.0..7.0.0..7.0.0..7.0..0..7..0..0..7..0..0..7..0..0..7..0..0..7..0..0..7..0

.1..9.3.4.12.6.7.15.9.10.18.12.13.21.15.16.24.18.19.27.21.22.30.24.25.33

.0..9.0.0..9.0.0..9.0..0..9..0..0..9..0..0..9..0..0..9..0..0..9..0..0

.0.10.0.0.10.0.0.10.0..0.10..0..0.10..0..0.10..0..0.10..0..0.10..0

Links

R. H. Hardin, Table of n, a(n) for n = 1..544

Formula

Empirical: T(n,k)=0 if both n+1 and k+1 are nonzero modulo 3

T(n,k)=k if n+1 is zero modulo 3 and k+1 is nonzero modulo 3

T(n,k)=n if n+1 is nonzero modulo 3 and k+1 is zero modulo 3

T(n,k)=n+k-1 otherwise

Example

Some solutions for 8X8
..0..1..0..0..0..0..0..0....0..1..1..1..0..0..1..1....0..1..1..1..1..0..0..1
..1..1..0..1..0..0..1..0....0..0..1..1..1..0..1..0....1..1..1..0..1..0..1..1
..0..0..0..0..0..0..0..0....1..1..0..1..1..0..1..1....0..0..0..0..0..0..0..0
..1..0..0..1..1..0..1..1....0..1..1..1..0..0..1..1....1..0..1..0..0..0..1..0
..1..1..0..1..0..0..1..0....0..0..1..1..1..0..1..0....0..0..1..1..0..0..0..0
..0..0..0..0..0..0..0..0....1..1..0..1..1..0..1..1....0..0..0..0..0..0..0..0
..1..0..0..1..1..0..1..1....1..0..1..0..1..0..0..0....1..0..1..0..0..0..1..0
..0..0..0..0..1..0..0..1....1..1..1..0..0..0..0..1....0..0..1..1..0..0..0..0

Crossrefs

Sequence in context: A181634 A230652 A230661 * A178153 A267794 A282499

Adjacent sequences: A178949 A178950 A178951 * A178953 A178954 A178955

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved