A318072 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

16, 42, 81, 149, 316, 854, 2195, 5752, 15565, 41364, 110930, 299210, 802420, 2158664, 5810654, 15618316, 42022876, 113058411, 304076748, 818075794, 2200737667, 5919964491, 15925927942, 42842509441, 115250505252, 310041060554

Offset: 1

Author

R. H. Hardin, Aug 15 2018

Keywords

• nonn

Comments

Column 5 of A318075.

Examples

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

Links

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

Crossrefs

Cf. A318075.

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +8*a(n-3) -16*a(n-4) +16*a(n-5) -27*a(n-6) +15*a(n-7) -6*a(n-8) +4*a(n-9) -3*a(n-10) +29*a(n-11) -9*a(n-12) +17*a(n-13) -7*a(n-14) -11*a(n-15) -13*a(n-16) -7*a(n-17) +5*a(n-18) -7*a(n-19) +a(n-20) +11*a(n-21) -2*a(n-22) +2*a(n-23) +4*a(n-24) -4*a(n-25) +5*a(n-26) -5*a(n-27) -a(n-28) +a(n-29) for n>33