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

1,1

Comments

Column 4 of A280233.

Links

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

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

Example

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

Crossrefs

Cf. A280233.

Sequence in context: A191309 A323351 A134353 * A360323 A336127 A076508

Adjacent sequences: A280226 A280227 A280228 * A280230 A280231 A280232

Keyword

nonn

Author

R. H. Hardin, Dec 29 2016

Status

approved