A269085 Number of nX4 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.

13, 76, 428, 2238, 11314, 55620, 268289, 1274435, 5982734, 27813229, 128268964, 587560638, 2675945006, 12126527636, 54715085702, 245932380152, 1101667424213, 4920048498594, 21913218006880, 97358802936939, 431593734805059

Offset

1,1

Comments

Column 4 of A269089.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +19*a(n-2) +10*a(n-3) -122*a(n-4) -320*a(n-5) -295*a(n-6) +8*a(n-7) +176*a(n-8) +20*a(n-9) -98*a(n-10) -6*a(n-11) +43*a(n-12) -6*a(n-13) -11*a(n-14) +6*a(n-15) -a(n-16)

Example

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

Crossrefs

Cf. A269089.

Sequence in context: A050485 A034265 A282643 * A182077 A269071 A283539

Adjacent sequences: A269082 A269083 A269084 * A269086 A269087 A269088

Keyword

nonn

Author

R. H. Hardin, Feb 19 2016

Status

approved