A251196 Number of (n+1)X(3+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

64, 310, 1654, 8976, 49104, 268638, 1470646, 8050116, 44068836, 241240750, 1320610882, 7229316556, 39574952216, 216642298190, 1185949599142, 6492159224596, 35539565353052, 194551710683166, 1065020576904442

Offset

1,1

Comments

Column 3 of A251201

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +19*a(n-2) +8*a(n-3) -41*a(n-4) -16*a(n-5) +21*a(n-6) -10*a(n-8) +2*a(n-9) for n>10

Example

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

Crossrefs

Sequence in context: A299186 A299947 A372093 * A221486 A231942 A221686

Adjacent sequences: A251193 A251194 A251195 * A251197 A251198 A251199

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved