A286979 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 30, 50, 30, 0, 1, 126, 538, 538, 126, 1, 3, 520, 3932, 8270, 3932, 520, 3, 10, 2088, 32253, 123706, 123706, 32253, 2088, 10, 24, 8192, 238532, 1853532, 3584756, 1853532, 238532, 8192, 24, 60, 32083, 1875212, 27938670

Offset

1,8

Comments

Table starts

..0.....0........0..........0.............0................1..................3

..0.....0........5.........30...........126..............520...............2088

..0.....5.......50........538..........3932............32253.............238532

..0....30......538.......8270........123706..........1853532...........27938670

..0...126.....3932.....123706.......3584756........108110791.........3229944132

..1...520....32253....1853532.....108110791.......6394436704.......382399996325

..3..2088...238532...27938670....3229944132.....382399996325.....45587718323826

.10..8192..1875212..424161696...98063836816...23061514189084...5491408595796062

.24.32083.14222474.6473516290.2979455186170.1399727072882973.665386690317576640

Links

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

Example

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

Crossrefs

Column 1 is A286209.

Sequence in context: A356116 A281165 A282481 * A030047 A176184 A176144

Adjacent sequences: A286976 A286977 A286978 * A286980 A286981 A286982

Keyword

nonn,tabl

Author

R. H. Hardin, May 17 2017

Status

approved