A252447 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

339, 1677, 1677, 9062, 13777, 9062, 48658, 131202, 131202, 48658, 259257, 1149386, 2091042, 1149386, 259257, 1382414, 10157387, 30491181, 30491181, 10157387, 1382414, 7389034, 91120655, 454665875, 732217984, 454665875, 91120655, 7389034

Offset

1,1

Comments

Table starts

.......339........1677...........9062............48658..............259257

......1677.......13777.........131202..........1149386............10157387

......9062......131202........2091042.........30491181...........454665875

.....48658.....1149386.......30491181........732217984.........17918363933

....259257....10157387......454665875......17918363933........727114790171

...1382414....91120655.....6833055569.....443610072768......29918663096948

...7389034...812431496...102043139454...10912522669489....1218437834167018

..39505162..7240016321..1526189064960..268546526289340...49699856516684819

.211085078.64612694441.22840267867281.6614897944285757.2030235758746008203

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 27] for n>29

k=2: [order 65] for n>67

Example

Some solutions for n=2 k=4
..0..0..1..0..0..1....0..1..1..0..0..1....0..0..0..0..0..0....0..1..0..0..1..1
..0..0..1..0..1..0....0..0..0..0..1..0....0..0..0..1..0..0....0..0..1..0..0..1
..0..1..0..0..0..0....0..1..0..0..0..1....0..1..0..0..1..1....0..1..0..0..1..0
..0..1..1..0..1..1....0..0..1..1..0..1....0..1..0..1..1..0....0..0..0..0..0..0

Crossrefs

Sequence in context: A107546 A235880 A158000 * A252441 A236896 A076748

Adjacent sequences: A252444 A252445 A252446 * A252448 A252449 A252450

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2014

Status

approved