A279706 Number of nX5 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

3, 6, 47, 385, 3245, 27346, 230128, 1936687, 16300179, 137192011, 1154685911, 9718495665, 81796457512, 688446233557, 5794361407059, 48768695462933, 410465538968189, 3454715318219146, 29076881764570866, 244727850397713496

Offset

1,1

Comments

Column 5 of A279709.

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -107*a(n-2) +388*a(n-3) -991*a(n-4) +1845*a(n-5) -2506*a(n-6) +2365*a(n-7) -1546*a(n-8) +695*a(n-9) -219*a(n-10) +44*a(n-11) -4*a(n-12) for n>13

Example

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

Crossrefs

Cf. A279709.

Sequence in context: A194080 A261841 A197884 * A032322 A203765 A111752

Adjacent sequences: A279703 A279704 A279705 * A279707 A279708 A279709

Keyword

nonn

Author

R. H. Hardin, Dec 17 2016

Status

approved