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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. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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: A070252 A038311 A244960 * A335556 A286775 A286121

Adjacent sequences:  A282557 A282558 A282559 * A282561 A282562 A282563

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 18 2017

STATUS

approved

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Last modified November 27 19:06 EST 2021. Contains 349394 sequences. (Running on oeis4.)