A302473 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

0, 11, 49, 203, 955, 4556, 21843, 103319, 491073, 2332753, 11082938, 52648987, 250106679, 1188163911, 5644397853, 26814116700, 127381683511, 605134192403, 2874722191055, 13656526930929, 64876076932622, 308197362006435

Offset: 1

Author

R. H. Hardin, Apr 08 2018

Keywords

• nonn

Comments

Row 3 of A302472.

Examples

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

Links

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

Crossrefs

Cf. A302472.

Formula

Empirical: a(n) = a(n-1) +17*a(n-2) +15*a(n-3) -33*a(n-4) -62*a(n-5) -148*a(n-6) -116*a(n-7) +343*a(n-8) +429*a(n-9) +269*a(n-10) +191*a(n-11) -415*a(n-12) -534*a(n-13) -468*a(n-14) -436*a(n-15) -132*a(n-16) -72*a(n-17) -8*a(n-18) +8*a(n-19) for n>21