A183517 T(n,k)=Number of nXk binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors

1, 2, 2, 3, 4, 3, 4, 11, 11, 4, 6, 24, 37, 24, 6, 9, 56, 138, 138, 56, 9, 13, 121, 427, 736, 427, 121, 13, 19, 272, 1444, 3504, 3504, 1444, 272, 19, 28, 612, 4903, 18288, 24194, 18288, 4903, 612, 28, 41, 1373, 16506, 94376, 182372, 182372, 94376, 16506, 1373, 41, 60

Offset

1,2

Comments

Table starts

..1....2......3........4.........6...........9...........13...........19

..2....4.....11.......24........56.........121..........272..........612

..3...11.....37......138.......427........1444.........4903........16506

..4...24....138......736......3504.......18288........94376.......490864

..6...56....427.....3504.....24194......182372......1381491.....10466773

..9..121...1444....18288....182372.....2075747.....23569130....267932379

.13..272...4903....94376...1381491....23569130....401449253...6843217545

.19..612..16506...490864..10466773...267932379...6843217545.174957270750

.28.1373..55852..2559872..79423818..3051705052.116932875870

.41.3082.187749.13257792.600709200.34604189072

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

Some solutions for 4X3
..1..0..0....0..1..1....1..0..0....0..1..1....0..0..0....1..1..1....0..0..0
..0..1..0....0..0..0....1..1..0....1..1..0....0..0..0....1..1..1....1..0..1
..0..0..0....0..1..1....1..0..0....0..0..0....0..1..0....1..0..0....1..0..1
..1..1..0....1..1..0....0..0..0....0..1..1....0..0..1....0..1..0....0..0..0

Crossrefs

Column 1 is A000930(n+1)

Sequence in context: A084192 A129595 A094508 * A080046 A047675 A187199

Adjacent sequences: A183514 A183515 A183516 * A183518 A183519 A183520

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved