A206255 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having zero permanent.

49, 361, 361, 1600, 8029, 1600, 9409, 99856, 99856, 9409, 47089, 1718209, 1364224, 1718209, 47089, 258064, 26512201, 49336576, 49336576, 26512201, 258064, 1343281, 434613664, 944701696, 4556324929, 944701696, 434613664, 1343281, 7198489

Offset

1,1

Comments

Table starts

......49..........361...........1600..............9409................47089

.....361.........8029..........99856...........1718209.............26512201

....1600........99856........1364224..........49336576............944701696

....9409......1718209.......49336576........4556324929.........226637884225

...47089.....26512201......944701696......226637884225.......14139111560401

..258064....434613664....27285753856....16533087493120.....2261195747329024

.1343281...6990799321...603269103616..1006239668280961...186370092021300625

.7198489.113636628469.15860529270784.68438717405988481.24455901146017548025

Links

R. H. Hardin, Table of n, a(n) for n = 1..611

Formula

Column 1 is A006130(n+2)^2.

Example

Some solutions for n=4, k=3
..2..0..3..3....0..0..1..1....0..3..3..0....0..0..0..0....0..2..0..3
..0..0..0..0....3..0..0..0....0..0..0..0....3..0..1..1....0..0..0..1
..2..1..1..0....3..0..1..1....1..0..1..0....2..0..0..0....1..0..0..1
..0..0..0..0....1..0..0..0....1..0..0..0....3..0..2..0....0..0..0..3
..2..1..1..0....3..0..0..2....2..0..2..3....2..0..3..0....1..0..0..1

Crossrefs

Cf. A006130.

Sequence in context: A036323 A066429 A269327 * A017606 A206248 A100690

Adjacent sequences: A206252 A206253 A206254 * A206256 A206257 A206258

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 05 2012

Status

approved