A280119 Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 8, 37, 168, 705, 2852, 11249, 44120, 172216, 669642, 2593331, 10007214, 38486137, 147567972, 564271722, 2152340508, 8191329673, 31110463544, 117934684593, 446299653840, 1686241733092, 6361706382286, 23968134395991, 90186855338914

Offset

1,1

Comments

Column 3 of A280124.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +a(n-2) -52*a(n-3) +51*a(n-4) +78*a(n-5) -173*a(n-6) +136*a(n-7) +17*a(n-8) -38*a(n-9) -49*a(n-10) +32*a(n-11) -24*a(n-12) -32*a(n-13) -16*a(n-14) for n>19

Example

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

Crossrefs

Cf. A280124.

Sequence in context: A340234 A375518 A183908 * A224032 A046814 A361698

Adjacent sequences: A280116 A280117 A280118 * A280120 A280121 A280122

Keyword

nonn

Author

R. H. Hardin, Dec 26 2016

Status

approved