A279524 Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 46, 1168, 23610, 456846, 8451524, 152161078, 2683339202, 46585256882, 798803549422, 13560625665130, 228309753887084, 3817243895220652, 63445894677315538, 1049156236360318398, 17272132042718733138

Offset

1,1

Comments

Column 3 of A279527.

Links

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

Formula

Empirical: a(n) = 28*a(n-1) -140*a(n-2) -950*a(n-3) +1356*a(n-4) +6540*a(n-5) +8107*a(n-6) +1908*a(n-7) -96796*a(n-8) -102684*a(n-9) +32296*a(n-10) +326040*a(n-11) +669460*a(n-12) +82280*a(n-13) -968164*a(n-14) -764544*a(n-15) -369984*a(n-16) -28992*a(n-17) +499456*a(n-18) +281600*a(n-19) -26880*a(n-20) +51200*a(n-21) -102400*a(n-22)

Example

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

Crossrefs

Cf. A279527.

Sequence in context: A290046 A012001 A012006 * A264500 A173586 A074041

Adjacent sequences: A279521 A279522 A279523 * A279525 A279526 A279527

Keyword

nonn

Author

R. H. Hardin, Dec 14 2016

Status

approved