A279301 Number of nX2 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

1, 0, 12, 104, 872, 8064, 71680, 635312, 5554240, 47920384, 408259136, 3437600192, 28638307456, 236298903552, 1932926374400, 15688543703808, 126443222102016, 1012619953508352, 8062922404920320, 63864515531578368, 503439208935970816

Offset

1,3

Comments

Column 2 of A279305.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) -198*a(n-2) +536*a(n-3) +636*a(n-4) -2832*a(n-5) -8360*a(n-6) +14880*a(n-7) +38112*a(n-8) -1344*a(n-9) -105600*a(n-10) -73728*a(n-11) +26624*a(n-12) +58368*a(n-13) -30720*a(n-14) +4096*a(n-15) for n>16

Example

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

Crossrefs

Cf. A279305.

Sequence in context: A099293 A024454 A222540 * A003431 A173835 A334168

Adjacent sequences: A279298 A279299 A279300 * A279302 A279303 A279304

Keyword

nonn

Author

R. H. Hardin, Dec 09 2016

Status

approved