A279530 Number of nX2 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

1, 0, 15, 222, 2348, 21302, 176125, 1370378, 10206549, 73563740, 516783536, 3556359632, 24063074811, 160526530010, 1058084408267, 6902445698458, 44625383925460, 286243601446922, 1823306997805641, 11542088564060842

Offset

1,3

Comments

Column 2 of A279534.

Links

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

Formula

Empirical: a(n) = 18*a(n-1) -108*a(n-2) +183*a(n-3) +408*a(n-4) -1332*a(n-5) +69*a(n-6) +2442*a(n-7) -1632*a(n-8) -1043*a(n-9) +1452*a(n-10) -528*a(n-11) +64*a(n-12) for n>13

Example

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

Crossrefs

Cf. A279534.

Sequence in context: A289160 A027843 A027840 * A057500 A137916 A218696

Adjacent sequences: A279527 A279528 A279529 * A279531 A279532 A279533

Keyword

nonn

Author

R. H. Hardin, Dec 14 2016

Status

approved