A253978 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally and vertically

512, 3372, 21304, 136868, 881432, 5659548, 36317408, 233116252, 1496407920, 9605229252, 61654061624, 395747083364, 2540236192136, 16305351878348, 104661317077520, 671803480591468, 4312194181808480, 27679252937604244

Offset

1,1

Comments

Column 1 of A253985

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 7*a(n-1) -6*a(n-2) +18*a(n-3) -3*a(n-4) -123*a(n-5) +14*a(n-6) -74*a(n-7) +60*a(n-8) +396*a(n-9) +120*a(n-10) +24*a(n-11) +32*a(n-12) -32*a(n-13)

Example

Some solutions for n=4
..1..0..0....1..0..0....1..0..1....1..0..0....1..0..1....1..0..0....1..0..0
..1..1..1....1..0..1....1..0..0....0..0..0....1..0..1....1..1..1....1..1..1
..0..0..1....0..0..0....1..0..0....1..0..1....0..1..1....1..1..0....1..1..1
..0..1..1....1..1..1....1..0..1....1..1..1....1..1..0....1..1..0....0..0..1
..0..0..1....0..0..1....1..0..0....0..1..0....0..0..1....1..0..0....0..0..0
..1..0..1....0..1..0....1..1..1....1..1..0....1..1..1....1..0..0....0..1..1

Crossrefs

Sequence in context: A253537 A254390 A253985 * A250574 A016995 A254092

Adjacent sequences: A253975 A253976 A253977 * A253979 A253980 A253981

Keyword

nonn

Author

R. H. Hardin, Jan 21 2015

Status

approved