A275223 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2.

5, 36, 61, 187, 648, 2282, 8134, 29027, 103456, 368889, 1315431, 4690476, 16725240, 59638892, 212660009, 758302172, 2703951339, 9641739667, 34380480348, 122593793026, 437144505226, 1558768299519, 5558250385696, 19819589184889

Offset: 1

Author

R. H. Hardin, Jul 20 2016

Keywords

• nonn

Comments

Column 3 of A275228.

Examples

			Some solutions for n=4
..0..0..1. .0..1..0. .0..1..1. .0..1..2. .0..0..1. .0..1..1. .0..1..2
..2..1..2. .2..2..1. .2..0..2. .1..2..1. .1..1..2. .2..0..2. .2..0..1
..1..2..1. .0..1..0. .0..2..0. .0..1..0. .2..2..1. .0..2..0. .0..1..2
..2..1..0. .1..0..1. .1..0..1. .1..2..1. .0..0..2. .2..0..2. .1..0..1
		

Links

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

Crossrefs

Cf. A275228.

Formula

Empirical: a(n) = 3*a(n-1) +5*a(n-2) -10*a(n-3) -a(n-4) -10*a(n-5) +21*a(n-6) -4*a(n-7) -4*a(n-8) +a(n-9) for n>13