A280401 Number of 3Xn 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 14, 66, 238, 769, 2432, 7440, 22494, 66934, 197146, 575042, 1664510, 4785950, 13683634, 38931434, 110291246, 311272806, 875559938, 2455439762, 6867568958, 19161061470, 53342827474, 148202912538, 410993902254, 1137828238230

Offset

1,2

Comments

Row 3 of A280398.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -13*a(n-2) -13*a(n-3) +69*a(n-4) -51*a(n-5) -79*a(n-6) +121*a(n-7) +8*a(n-8) -24*a(n-9) -80*a(n-10) -24*a(n-11) +176*a(n-12) -32*a(n-13) -80*a(n-14) -48*a(n-15) +64*a(n-17) for n>19

Example

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

Crossrefs

Cf. A280398.

Sequence in context: A249290 A336744 A249291 * A221703 A064096 A250141

Adjacent sequences: A280398 A280399 A280400 * A280402 A280403 A280404

Keyword

nonn

Author

R. H. Hardin, Jan 02 2017

Status

approved