A279264 Number of nX4 0..1 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, 20, 86, 400, 1592, 5888, 21882, 79112, 281754, 991292, 3452756, 11929580, 40936072, 139644508, 473965068, 1601601800, 5391122062, 18084715096, 60480149694, 201706042464, 671036424848, 2227380695220, 7378205313096

Offset

1,1

Comments

Column 4 of A279268.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -37*a(n-2) +62*a(n-3) -44*a(n-4) -16*a(n-5) +109*a(n-6) -148*a(n-7) +111*a(n-8) -290*a(n-9) +399*a(n-10) -144*a(n-11) -90*a(n-12) +622*a(n-13) -605*a(n-14) +60*a(n-15) -696*a(n-16) +776*a(n-17) -6*a(n-18) -230*a(n-19) +395*a(n-20) -290*a(n-21) +80*a(n-22) +4*a(n-23) -50*a(n-24) +28*a(n-25) -16*a(n-26) +4*a(n-27) -a(n-28) for n>31

Example

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

Crossrefs

Cf. A279268.

Sequence in context: A161007 A331760 A098077 * A063663 A071253 A069187

Adjacent sequences: A279261 A279262 A279263 * A279265 A279266 A279267

Keyword

nonn

Author

R. H. Hardin, Dec 08 2016

Status

approved