A275230 Number of 5 X n 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.

8, 66, 648, 6448, 64248, 640250, 6380362, 63583084, 633633188, 6314431394, 62926066122, 627085726484, 6249183090572, 62275838294858, 620605922265106, 6184609012036812, 61632329405048644, 614193075180580914

Offset

1,1

Links

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

Formula

Empirical: a(n) = 11*a(n-1) - 9*a(n-2) - 15*a(n-3) + 20*a(n-4) - 6*a(n-5) for n>6.

Empirical g.f.: 2*x*(4 - 11*x - 3*x^2 + 17*x^3 - 9*x^4 + x^5) / ((1 - x)*(1 - 10*x - x^2 + 14*x^3 - 6*x^4)). - Colin Barker, Feb 02 2019

Example

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

Crossrefs

Row 5 of A275228.

Sequence in context: A056621 A152275 A083385 * A188450 A121766 A052620

Adjacent sequences: A275227 A275228 A275229 * A275231 A275232 A275233

Keyword

nonn

Author

R. H. Hardin, Jul 20 2016

Status

approved