|
|
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
|
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|