A281710 Number of n X 3 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

1, 7, 8, 14, 17, 22, 30, 43, 64, 98, 153, 242, 386, 619, 996, 1606, 2593, 4190, 6774, 10955, 17720, 28666, 46377, 75034, 121402, 196427, 317820, 514238, 832049, 1346278, 2178318, 3524587, 5702896, 9227474, 14930361, 24157826, 39088178

Offset

1,2

Links

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

Formula

Empirical: a(n) = 2*a(n-1) - a(n-3) for n>6.

Empirical g.f.: x*(1 + 5*x - 6*x^2 - x^3 - 4*x^4 - 4*x^5) / ((1 - x)*(1 - x - x^2)). - Colin Barker, Feb 20 2019

Example

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

Crossrefs

Column 3 of A281715.

Sequence in context: A085334 A047274 A037368 * A037970 A101517 A271953

Adjacent sequences: A281707 A281708 A281709 * A281711 A281712 A281713

Keyword

nonn

Author

R. H. Hardin, Jan 28 2017

Status

approved