A275561 Number of n X 4 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

6, 96, 294, 1176, 4056, 15000, 54150, 196566, 714150, 2589894, 9405024, 34129350, 123887616, 449661894, 1632114294, 5924052504, 21502190976, 78045783606, 283279234776, 1028207094936, 3732040069656, 13546029168150, 49167456532134

Offset: 1

Author

R. H. Hardin, Aug 01 2016

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Column 4 of A275565.

Formula

Empirical: a(n) = 3*a(n-1) + 5*a(n-2) - 8*a(n-3) - 11*a(n-4) + 17*a(n-5) - 4*a(n-6) - 6*a(n-7) + 3*a(n-8) + 2*a(n-9) - a(n-10) for n>11.

Empirical g.f.: 6*x*(1 + 13*x - 4*x^2 - 23*x^3 - 18*x^4 + 43*x^5 - 16*x^6 - 13*x^7 + 10*x^8 + 5*x^9 - 3*x^10) / ((1 - 5*x + 6*x^2 - 4*x^3 + x^4)*(1 + 2*x - x^2 - 5*x^3 - x^4 + 2*x^5 + x^6)). - Colin Barker, Feb 04 2019