A282560 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.

0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 36, 89, 36, 0, 0, 154, 618, 618, 154, 0, 0, 652, 4167, 6284, 4167, 652, 0, 0, 2472, 26278, 73140, 73140, 26278, 2472, 0, 0, 9356, 160698, 766472, 1381258, 766472, 160698, 9356, 0, 0, 34766, 961128, 7774180, 23705784, 23705784

Offset

1,8

Comments

Table starts

.0......0........0..........0.............0...............0.................0

.0......0.......10.........36...........154.............652..............2472

.0.....10.......89........618..........4167...........26278............160698

.0.....36......618.......6284.........73140..........766472...........7774180

.0....154.....4167......73140.......1381258........23705784.........395048648

.0....652....26278.....766472......23705784.......665880200.......18249324844

.0...2472...160698....7774180.....395048648.....18249324844......823388675124

.0...9356...961128...77796496....6468244262....490759334872....36434863806328

.0..34766..5646223..762302160..103806368796..12942071819052..1581290354621990

.0.126780.32728582.7378886108.1645203138692.337156106069268.67798532910326566

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: [order 8]

k=3: [order 16]

k=4: [order 28]

k=5: [order 62]

Example

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

Crossrefs

Sequence in context: A038311 A244960 A378564 * A335556 A286775 A286121

Adjacent sequences: A282557 A282558 A282559 * A282561 A282562 A282563

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 18 2017

Status

approved