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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

%I

%S 0,0,0,0,0,0,0,10,10,0,0,36,89,36,0,0,154,618,618,154,0,0,652,4167,

%T 6284,4167,652,0,0,2472,26278,73140,73140,26278,2472,0,0,9356,160698,

%U 766472,1381258,766472,160698,9356,0,0,34766,961128,7774180,23705784,23705784

%N 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.

%C Table starts

%C .0......0........0..........0.............0...............0.................0

%C .0......0.......10.........36...........154.............652..............2472

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

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

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

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

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

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

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

%C .0.126780.32728582.7378886108.1645203138692.337156106069268.67798532910326566

%H R. H. Hardin, <a href="/A282560/b282560.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

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

%F k=2: [order 8]

%F k=3: [order 16]

%F k=4: [order 28]

%F k=5: [order 62]

%e Some solutions for n=4 k=4

%e ..1..0..0..1. .1..0..1..1. .1..0..1..1. .0..0..1..1. .1..0..1..1

%e ..0..1..0..1. .0..1..0..0. .1..0..0..0. .1..1..0..1. .1..1..0..0

%e ..0..1..0..0. .0..0..0..1. .1..1..0..1. .0..0..0..0. .0..0..0..0

%e ..1..0..1..1. .1..1..1..1. .0..0..0..0. .0..1..1..1. .1..0..1..1

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_, Feb 18 2017

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Last modified January 21 03:58 EST 2022. Contains 350473 sequences. (Running on oeis4.)