A251197 Number of (n+1) X (4+1) 0..1 arrays with no 2 X 2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements.

164, 1135, 8976, 73170, 599869, 4923412, 40413851, 331748759, 2723267431, 22354871755, 183507589250, 1506385040601, 12365677555788, 101507905283712, 833262433540456, 6840120381846407, 56149473064044790, 460922199881686977

Offset

1,1

Comments

Column 4 of A251201.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +48*a(n-2) +59*a(n-3) -261*a(n-4) -268*a(n-5) +610*a(n-6) +222*a(n-7) -781*a(n-8) +127*a(n-9) +107*a(n-10) +25*a(n-11) -11*a(n-12) -5*a(n-13) +a(n-14) for n>16.

Example

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

Crossrefs

Cf. A251201.

Sequence in context: A233997 A233990 A223455 * A038670 A192993 A250935

Adjacent sequences: A251194 A251195 A251196 * A251198 A251199 A251200

Keyword

nonn

Author

R. H. Hardin, Nov 30 2014

Status

approved