|
| |
|
|
A202194
|
|
Number of (n+2)X(n+2) binary arrays avoiding patterns 001 and 101 in rows and columns
|
|
1
|
|
|
|
108, 640, 3500, 18144, 90552, 439296, 2084940, 9724000, 44710952, 203164416, 914004728, 4077035200, 18052470000, 79420170240, 347424465420, 1512176830560, 6552247686600, 28276211040000, 121580638419240, 521033622457920
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Diagonal of A202202
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..21
|
|
|
FORMULA
|
Empirical: (n+1)*a(n) -2*(3n+4)*a(n-1) +4*(3n-2)*a(n-2) +8*(3-2n)*a(n-3)=0. - R. J. Mathar, Dec 14 2011
|
|
|
EXAMPLE
|
Some solutions for n=3
..0..1..1..0..0....1..1..0..0..0....0..1..1..1..1....0..1..1..1..0
..1..1..1..1..1....0..1..1..1..0....1..1..1..1..1....1..1..1..1..1
..0..1..1..1..1....0..1..1..0..0....1..1..1..1..1....0..1..1..1..0
..0..1..0..0..0....0..1..1..0..0....1..1..1..0..0....0..1..0..0..0
..0..1..0..0..0....0..1..0..0..0....1..1..0..0..0....0..0..0..0..0
|
|
|
CROSSREFS
|
Sequence in context: A129027 A204276 A174076 * A203373 A184201 A101213
Adjacent sequences: A202191 A202192 A202193 * A202195 A202196 A202197
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin Dec 14 2011
|
|
|
STATUS
|
approved
|
| |
|
|
