A205273 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, and new values 0..1 introduced in row major order

223, 1606, 1606, 11553, 21537, 11553, 82991, 288483, 288483, 82991, 596414, 3849194, 7191926, 3849194, 596414, 4285989, 51416847, 178174596, 178174596, 51416847, 4285989, 30799890, 686818023, 4422079769, 8174802163, 4422079769

Offset

1,1

Comments

Table starts

.......223.........1606..........11553.............82991...............596414

......1606........21537.........288483...........3849194.............51416847

.....11553.......288483........7191926.........178174596...........4422079769

.....82991......3849194......178174596........8174802163.........376019663515

....596414.....51416847.....4422079769......376019663515.......32079295935853

...4285989....686818023...109752541538....17296548519787.....2736913657929574

..30799890...9173723833..2723625483808...795473851332758...233446295978015247

.221334561.122534242638.67591734118641.36585763638080307.19913133812861822666

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

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

Crossrefs

Sequence in context: A108819 A158226 A253953 * A205266 A152834 A139233

Adjacent sequences: A205270 A205271 A205272 * A205274 A205275 A205276

Keyword

nonn,tabl

Author

R. H. Hardin Jan 24 2012

Status

approved