A284334 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

1, 2, 2, 3, 4, 4, 6, 13, 13, 8, 10, 34, 49, 42, 16, 19, 118, 373, 415, 134, 32, 33, 419, 2259, 5130, 2243, 467, 64, 62, 1481, 18114, 68458, 70039, 19385, 1689, 128, 112, 5394, 120058, 966889, 1792007, 1000935, 122495, 6210, 256, 212, 19848, 959041, 13941789

Offset

1,2

Comments

Table starts

...1.....2.......3..........6............10..............19.................33

...2.....4......13.........34...........118.............419...............1481

...4....13......49........373..........2259...........18114.............120058

...8....42.....415.......5130.........68458..........966889...........13941789

..16...134....2243......70039.......1792007........53435287.........1495300322

..32...467...19385....1000935......53977741......3063494246.......177476886878

..64..1689..122495...14581112....1544903012....179138039472.....20513380740103

.128..6210.1021999..215806808...46769835006..10629901713799...2467754689139967

.256.23178.7013557.3229703988.1390664014686.637390912071364.294625135884008616

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Example

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

Crossrefs

Column 1 is A000079(n-1).

Column 2 is A284159.

Row 1 is A274160(n+1).

Sequence in context: A342520 A225482 A004056 * A198317 A036822 A056099

Adjacent sequences: A284331 A284332 A284333 * A284335 A284336 A284337

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 25 2017

Status

approved