A275404 Number of 5 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.

12, 63, 394, 2404, 14884, 91849, 566331, 3495079, 21564220, 133044851, 820883765, 5064781430, 31249159768, 192804508189, 1189585924729, 7339632833601, 45284849272769, 279403286034674, 1723892118671285, 10636253097506243

Offset

1,1

Links

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

Formula

Empirical: a(n) = 2*a(n-1) + 15*a(n-2) + 55*a(n-3) + 69*a(n-4) + 8*a(n-5) - 50*a(n-6) + 14*a(n-7) + a(n-8) - a(n-9) for n>10.

Empirical g.f.: x*(12 + 39*x + 88*x^2 + 11*x^3 - 127*x^4 - 92*x^5 + 63*x^6 + 16*x^7 - 20*x^8 + x^9) / (1 - 2*x - 15*x^2 - 55*x^3 - 69*x^4 - 8*x^5 + 50*x^6 - 14*x^7 - x^8 + x^9). - Colin Barker, Feb 04 2019

Example

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

Crossrefs

Row 5 of A275401.

Sequence in context: A051922 A027810 A012875 * A162472 A008425 A154507

Adjacent sequences: A275401 A275402 A275403 * A275405 A275406 A275407

Keyword

nonn

Author

R. H. Hardin, Jul 26 2016

Status

approved