A279652 Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 27, 734, 20448, 549608, 14309072, 362942080, 9010004672, 219696673664, 5276496285696, 125098701453824, 2933030497825792, 68102636822126592, 1567870419323465728, 35824767230145847296, 813097556314108592128

Offset

1,2

Comments

Column 3 of A279657.

Links

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

Formula

Empirical: a(n) = 66*a(n-1) -1560*a(n-2) +15448*a(n-3) -58272*a(n-4) +112224*a(n-5) -123456*a(n-6) +79104*a(n-7) -27648*a(n-8) +4096*a(n-9) for n>10

Example

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

Crossrefs

Cf. A279657.

Sequence in context: A307388 A046240 A042406 * A284039 A159668 A158645

Adjacent sequences: A279649 A279650 A279651 * A279653 A279654 A279655

Keyword

nonn

Author

R. H. Hardin, Dec 16 2016

Status

approved