A318071 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

8, 20, 41, 73, 149, 372, 861, 2016, 4901, 11698, 27986, 67359, 161518, 387556, 930666, 2233451, 5360842, 12868595, 30887501, 74139733, 177960357, 427157604, 1025312853, 2461074852, 5907342192, 14179472548, 34035173339, 81695041734

Offset: 1

Author

R. H. Hardin, Aug 15 2018

Keywords

• nonn

Comments

Column 4 of A318075.

Examples

			Some solutions for n=5
..0..0..0..0. .0..1..1..1. .0..1..0..0. .0..1..1..1. .0..0..0..0
..0..0..0..0. .1..1..1..1. .1..1..0..0. .1..1..1..1. .0..0..1..0
..0..0..0..0. .1..1..1..1. .1..1..0..0. .0..0..0..0. .0..1..0..0
..1..1..1..1. .1..1..1..1. .1..1..0..0. .0..0..0..0. .0..0..0..0
..1..1..1..0. .1..1..1..1. .1..1..0..0. .0..0..0..1. .0..0..0..1
		

Links

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

Crossrefs

Cf. A318075.

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) -3*a(n-4) -5*a(n-5) -2*a(n-7) +7*a(n-8) -a(n-9) -2*a(n-10) +8*a(n-11) -3*a(n-12) -a(n-13) -3*a(n-14) -3*a(n-15) +4*a(n-16) +a(n-17) -a(n-18) for n>21