A284159 -id:A284159 - cp's OEIS frontend

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

R. H. Hardin, Mar 25 2017

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

			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

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

Column 1 is A000079(n-1).
Column 2 is A284159.
Row 1 is A274160(n+1).

cp's OEIS Frontend

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.

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