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URL: https://oeis.org/A202454

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A202454
Number of (n+2) X (n+2) binary arrays with consecutive windows of three bits considered as a binary number nondecreasing in every row and column.
1
512, 1194, 3362, 10918, 38478, 141192, 528390, 1998486, 7609118, 29110180, 111787002, 430618204, 1663208690, 6438719028, 24976207182, 97056810102, 377757631038, 1472369063940, 5746130037258, 22451082059892, 87812623596642, 343791474169608, 1347153935661282, 5283149717263548
OFFSET
1,1
LINKS
FORMULA
Conjecture: a(n) ~ c * 4^n / sqrt(n), where c = 95.3480396... - Vaclav Kotesovec, Feb 16 2026
EXAMPLE
Some solutions for 6 X 6:
..0..0..0..1..0..0....0..0..0..0..1..1....0..0..0..0..0..0....0..0..0..0..0..1
..0..0..0..1..0..0....0..0..0..1..1..1....0..0..0..0..0..0....0..0..0..1..0..1
..0..0..0..1..1..1....0..0..1..1..1..1....0..0..0..0..0..1....0..0..0..1..0..1
..1..1..1..1..1..1....0..1..1..1..1..1....0..1..1..1..1..1....0..1..1..1..1..1
..0..1..1..1..1..1....1..1..1..1..1..1....0..0..0..1..0..1....1..1..1..1..1..1
..0..0..1..1..1..1....0..0..1..1..1..1....0..0..0..1..1..1....0..1..1..1..1..1
CROSSREFS
Diagonal of A202461.
Sequence in context: A045058 A220017 A234879 * A230543 A224651 A224644
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 19 2011
STATUS
approved