A280065 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

2, 4, 15, 52, 170, 603, 2157, 7777, 28195, 102429, 372430, 1355019, 4930977, 17946466, 65320396, 237756751, 865411414, 3150039989, 11465974491, 41735611962, 151915810407, 552967220870, 2012778077066, 7326430841669

Offset

1,1

Comments

Column 4 of A280069.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +4*a(n-2) -21*a(n-3) -4*a(n-4) +34*a(n-5) +25*a(n-6) -37*a(n-7) -82*a(n-8) +44*a(n-9) +36*a(n-10) +6*a(n-11) -a(n-12) -5*a(n-13) -3*a(n-14) +a(n-15) for n>18

Example

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

Crossrefs

Cf. A280069.

Sequence in context: A332234 A316726 A308345 * A188228 A243796 A153939

Adjacent sequences: A280062 A280063 A280064 * A280066 A280067 A280068

Keyword

nonn

Author

R. H. Hardin, Dec 25 2016

Status

approved