A253740 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically

218, 720, 720, 2212, 1888, 2212, 6932, 4100, 4100, 6932, 22236, 9876, 7216, 9876, 22236, 70372, 25012, 17608, 17608, 25012, 70372, 222820, 60296, 44332, 54688, 44332, 60296, 222820, 706884, 148328, 102616, 143080, 143080, 102616, 148328

Offset

1,1

Comments

Table starts

.....218.....720....2212.....6932....22236.....70372.....222820......706884

.....720....1888....4100.....9876....25012.....60296.....148328......369360

....2212....4100....7216....17608....44332....102616.....243796......599920

....6932....9876...17608....54688...143080....345304.....922004.....2750948

...22236...25012...44332...143080...400068...1059528....3230352....10458356

...70372...60296..102616...345304..1059528...3369876...11094376....37875928

..222820..148328..243796...922004..3230352..11094376...40265740...158864740

..706884..369360..599920..2750948.10458356..37875928..158864740...774250356

.2242532..917504.1495128..7532104.31345596.127687424..622829668..3357130068

.7110804.2284292.3650772.19629020.90751832.433506104.2349461712.13604064576

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Formula

Empirical for column k:

k=1: [linear recurrence of order 14] for n>15

k=2: [order 55] for n>60

Example

Some solutions for n=4 k=4
..1..1..1..0..1..1....1..1..0..1..0..0....0..0..0..1..0..0....0..1..0..0..0..1
..0..1..0..1..0..1....1..0..1..0..1..1....1..0..0..0..1..0....0..0..1..0..1..0
..1..0..1..1..1..0....0..1..1..1..0..1....0..1..0..0..0..0....0..0..0..1..0..0
..0..1..1..1..0..1....1..1..1..0..1..0....1..0..1..0..1..0....1..0..0..0..1..0
..1..0..1..0..1..1....0..1..0..1..0..1....0..1..0..1..0..0....0..1..0..0..0..1
..0..0..0..0..0..0....0..0..0..0..0..1....1..0..0..0..1..0....0..1..1..0..0..0

Crossrefs

Sequence in context: A038595 A045239 A185462 * A253733 A241102 A292545

Adjacent sequences: A253737 A253738 A253739 * A253741 A253742 A253743

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 11 2015

Status

approved