|
| |
|
|
A280810
|
|
T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
|
|
8
|
|
|
|
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 18, 56, 18, 0, 0, 72, 332, 332, 72, 0, 0, 284, 1578, 2146, 1578, 284, 0, 0, 1047, 6540, 9715, 9715, 6540, 1047, 0, 0, 3722, 24490, 37644, 41931, 37644, 24490, 3722, 0, 0, 12816, 86010, 133067, 155560, 155560, 133067, 86010, 12816, 0, 0
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,8
|
|
|
COMMENTS
|
Table starts
.0.....0......0.......0........0........0.........0.........0.........0
.0.....1......3......18.......72......284......1047......3722.....12816
.0.....3.....56.....332.....1578.....6540.....24490.....86010....288426
.0....18....332....2146.....9715....37644....133067....440282...1387898
.0....72...1578....9715....41931...155560....521862...1635481...4878157
.0...284...6540...37644...155560...547197...1736603...5150299..14554327
.0..1047..24490..133067...521862..1736603...5219491..14672850..39446188
.0..3722..86010..440282..1635481..5150299..14672850..39260363.100719254
.0.12816.288426.1387898..4878157.14554327..39446188.100719254.247768745
.0.43077.933792.4213683.14014639.39708623.102668319.251288174.594591866
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 18]
k=3: [order 18] for n>24
k=4: [order 28] for n>36
k=5: [order 37] for n>46
k=6: [order 43] for n>53
k=7: [order 49] for n>60
|
|
|
EXAMPLE
|
Some solutions for n=4 k=4
..0..1..1..1. .0..1..0..0. .0..1..1..0. .0..1..0..0. .0..1..1..0
..0..1..0..1. .0..1..0..1. .0..0..0..1. .1..1..1..0. .1..0..0..1
..1..0..1..0. .1..0..0..0. .1..0..1..0. .0..0..0..1. .0..1..1..1
..1..0..1..1. .1..1..1..1. .1..1..0..0. .1..1..0..0. .0..0..1..0
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
