A204398 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order

144, 648, 648, 2952, 4050, 2952, 13448, 27378, 27378, 13448, 61336, 175232, 259808, 175232, 61336, 279752, 1131008, 2196608, 2196608, 1131008, 279752, 1276088, 7311488, 19698336, 25233408, 19698336, 7311488, 1276088, 5820872, 47258642

Offset

1,1

Comments

Table starts

.....144.......648........2952........13448..........61336...........279752

.....648......4050.......27378.......175232........1131008..........7311488

....2952.....27378......259808......2196608.......19698336........174658050

...13448....175232.....2196608.....25233408......313801352.......3834777888

...61336...1131008....19698336....313801352.....5406738528......91301191200

..279752...7311488...174658050...3834777888....91301191200....2134049909922

.1276088..47258642..1547710600..46611372488..1536831498888...49709204045442

.5820872.305390898.13756760192.569195419058.26029238052168.1165483158963362

Links

R. H. Hardin, Table of n, a(n) for n = 1..415

Example

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

Crossrefs

Sequence in context: A017522 A180413 A137885 * A204391 A233903 A233897

Adjacent sequences: A204395 A204396 A204397 * A204399 A204400 A204401

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2012

Status

approved