A279576 Number of nX4 0..2 arrays with no element equal 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.

4, 304, 20776, 1356120, 86246944, 5385546376, 331573929104, 20185283466808, 1217559111188832, 72881432768564104, 4334414771180477232, 256350873834571829720, 15088730814780904713600, 884394788795879442352680

Offset

1,1

Comments

Column 4 of A279580.

Links

R. H. Hardin, Table of n, a(n) for n = 1..182

Formula

Empirical: a(n) = 130*a(n-1) -5401*a(n-2) +81048*a(n-3) -655576*a(n-4) +3394056*a(n-5) -12310816*a(n-6) +32887040*a(n-7) -66357008*a(n-8) +101980416*a(n-9) -118737920*a(n-10) +102678528*a(n-11) -63588352*a(n-12) +26722304*a(n-13) -7077888*a(n-14) +1048576*a(n-15) -65536*a(n-16) for n>17

Example

Some solutions for n=3
..0..1..2..1. .0..1..2..1. .0..0..1..0. .0..1..2..0. .0..1..2..1
..2..2..2..2. .2..0..0..2. .2..0..1..1. .0..2..1..2. .1..0..2..1
..2..0..1..2. .1..1..1..0. .0..2..0..1. .1..1..1..0. .0..1..1..0

Crossrefs

Cf. A279580.

Sequence in context: A343147 A128904 A001537 * A201979 A280792 A027512

Adjacent sequences: A279573 A279574 A279575 * A279577 A279578 A279579

Keyword

nonn

Author

R. H. Hardin, Dec 15 2016

Status

approved