A282963 Number of nX2 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements.

0, 0, 5, 17, 75, 295, 1062, 3811, 13107, 44498, 148305, 488130, 1588811, 5122801, 16384193, 52029375, 164193163, 515276894, 1609014076, 5001795369, 15485379275, 47764505823, 146829462806, 449951243863, 1374888588530, 4189987614075

Offset

1,3

Comments

Column 2 of A282969.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +9*a(n-2) -14*a(n-3) -51*a(n-4) -18*a(n-5) +82*a(n-6) +156*a(n-7) +177*a(n-8) +162*a(n-9) +114*a(n-10) +63*a(n-11) +31*a(n-12) +12*a(n-13) +3*a(n-14) +a(n-15)

Example

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

Crossrefs

Cf. A282969.

Sequence in context: A149727 A149728 A149729 * A149730 A149731 A149732

Adjacent sequences: A282960 A282961 A282962 * A282964 A282965 A282966

Keyword

nonn

Author

R. H. Hardin, Feb 25 2017

Status

approved