A206659 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order

102, 390, 390, 1517, 1769, 1517, 5805, 8374, 8374, 5805, 22346, 39928, 50529, 39928, 22346, 86251, 190577, 305347, 305347, 190577, 86251, 332419, 910169, 1839784, 2324028, 1839784, 910169, 332419, 1281181, 4345011, 11172263, 17859249

Offset

1,1

Comments

Table starts

.....102......390......1517.......5805........22346.........86251

.....390.....1769......8374......39928.......190577........910169

....1517.....8374.....50529.....305347......1839784......11172263

....5805....39928....305347....2324028.....17859249.....138177925

...22346...190577...1839784...17859249....175401820....1731487818

...86251...910169..11172263..138177925...1731487818...21966491761

..332419..4345011..67724531.1063970081..17082121522..278034719471

.1281181.20745372.410177144.8203665888.168628106667.3516414118117

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=4 k=3
..0..1..1..0..0....0..1..1..0..0....0..0..1..0..1....0..1..0..1..1
..1..1..1..0..1....0..0..1..1..1....1..1..1..0..0....1..1..1..1..1
..0..1..0..0..0....0..0..1..1..0....0..1..1..0..1....0..1..0..0..0
..1..1..0..0..1....1..0..0..0..0....1..1..0..0..0....1..1..0..1..1
..1..1..0..1..1....1..0..0..1..0....1..1..1..1..1....0..0..0..0..1
..0..1..1..1..1....1..1..0..1..1....0..1..0..0..1....0..1..0..1..0

Crossrefs

Sequence in context: A204860 A277459 A127655 * A206652 A158127 A231361

Adjacent sequences: A206656 A206657 A206658 * A206660 A206661 A206662

Keyword

nonn,tabl

Author

R. H. Hardin Feb 11 2012

Status

approved