A279898 Number of nX4 0..2 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, 20, 56, 156, 428, 1208, 3316, 9168, 25200, 69152, 189996, 520700, 1426696, 3905118, 10677540, 29172966, 79621084, 217117820, 591513132, 1610070116, 4378827488, 11898970622, 32308585292, 87659016834, 237661886268

Offset

1,1

Comments

Column 4 of A279902.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +4*a(n-2) -20*a(n-3) -26*a(n-4) +44*a(n-5) +74*a(n-6) +18*a(n-7) -25*a(n-8) -176*a(n-9) -246*a(n-10) +82*a(n-11) +331*a(n-12) +102*a(n-13) +91*a(n-14) -88*a(n-15) -360*a(n-16) +80*a(n-17) +140*a(n-18) -16*a(n-19) -16*a(n-20) for n>23

Example

Some solutions for n=4
..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
..0..0..1..1. .0..0..0..1. .0..0..0..0. .0..0..0..1. .0..0..0..0
..0..0..1..1. .2..2..2..2. .1..1..1..2. .0..0..0..0. .0..0..1..1
..0..0..2..1. .2..2..2..2. .1..1..1..1. .0..0..0..0. .0..1..1..1

Crossrefs

Cf. A279902.

Sequence in context: A302323 A192698 A305050 * A221066 A238760 A174477

Adjacent sequences: A279895 A279896 A279897 * A279899 A279900 A279901

Keyword

nonn

Author

R. H. Hardin, Dec 22 2016

Status

approved