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A282051 Number of n X 2 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. 1
2, 14, 91, 600, 4039, 27212, 183195, 1233336, 8303647, 55905604, 376392451, 2534116400, 17061305479, 114867707132, 773363450795, 5206781283496, 35055408051567, 236015604782644, 1589009194201811, 10698234218839200 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) - 11*a(n-2) + 20*a(n-3) - 24*a(n-4) + 8*a(n-5).

Empirical g.f.: x*(1 - 2*x)*(2 + 2*x + 5*x^2 - 4*x^3) / ((1 - x)*(1 - 7*x + 4*x^2 - 16*x^3 + 8*x^4)). - Colin Barker, Feb 20 2019

EXAMPLE

Some solutions for n=4:

..0..1. .0..0. .0..0. .0..0. .0..1. .0..1. .0..1. .0..1. .0..1. .0..1

..1..0. .1..0. .1..0. .1..0. .2..2. .0..1. .2..1. .0..2. .1..2. .1..0

..1..0. .0..1. .0..1. .1..2. .1..2. .0..0. .2..2. .2..2. .1..2. .2..1

..0..1. .2..2. .0..2. .2..2. .1..1. .1..2. .0..1. .1..0. .0..1. .1..2

CROSSREFS

Column 2 of A282056.

Sequence in context: A109113 A081959 A002464 * A020063 A323561 A288470

Adjacent sequences:  A282048 A282049 A282050 * A282052 A282053 A282054

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 05 2017

STATUS

approved

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Last modified March 30 19:49 EDT 2020. Contains 333127 sequences. (Running on oeis4.)