A280229 Number of nX4 0..1 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 8, 16, 48, 116, 288, 678, 1600, 3766, 8704, 20040, 45904, 104540, 237268, 536526, 1209480, 2719500, 6099968, 13653798, 30504064, 68032030, 151493220, 336863254, 748075672, 1659257392, 3676182044, 8136355808, 17990500384, 39743338382

Offset: 1

Author

R. H. Hardin, Dec 29 2016

Keywords

• nonn

Comments

Column 4 of A280233.

Examples

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

Links

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

Crossrefs

Cf. A280233.

Formula

Empirical: a(n) = 4*a(n-1) -10*a(n-3) -8*a(n-4) +14*a(n-5) +25*a(n-6) +6*a(n-7) -10*a(n-8) -30*a(n-9) -27*a(n-10) -10*a(n-11) +9*a(n-12) +10*a(n-13) +3*a(n-14) +4*a(n-15) -4*a(n-16) for n>19