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

1,1

Comments

Column 3 of A275228.

Links

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

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

Example

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

Crossrefs

Cf. A275228.

Sequence in context: A035416 A042029 A073456 * A003350 A344643 A217166

Adjacent sequences: A275220 A275221 A275222 * A275224 A275225 A275226

Keyword

nonn

Author

R. H. Hardin, Jul 20 2016

Status

approved