|
|
A253733
|
|
Number of (n+2)X(1+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically
|
|
1
|
|
|
218, 720, 2212, 6932, 22236, 70372, 222820, 706884, 2242532, 7110804, 22555544, 71517456, 226861460, 719514384, 2281956628, 7237186788, 22954908172, 72802487404, 230901873532, 732329249252, 2322695885712, 7366657349992
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = a(n-2) +15*a(n-3) +44*a(n-4) +26*a(n-5) +36*a(n-6) -241*a(n-7) -190*a(n-8) -589*a(n-9) -530*a(n-10) -920*a(n-11) -1248*a(n-12) -800*a(n-13) -384*a(n-14) for n>15
|
|
EXAMPLE
|
Some solutions for n=4
..0..1..1....0..0..1....1..1..0....1..0..0....0..1..1....0..1..0....1..1..0
..0..1..0....0..1..1....0..0..0....0..1..0....1..0..0....1..1..0....0..1..0
..0..0..1....0..0..0....0..1..1....1..0..0....0..1..0....0..0..1....1..0..1
..0..1..1....0..0..1....0..0..1....0..1..1....1..1..0....0..1..1....0..0..0
..0..0..0....0..1..1....0..0..0....0..0..1....0..0..1....1..0..0....0..0..1
..0..0..1....0..0..1....1..0..0....0..0..0....0..1..1....0..1..0....1..0..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|