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A274897 Number of 5 X n 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2. 1
12, 26, 84, 275, 913, 3064, 10337, 34921, 117975, 398560, 1346637, 4550382, 15376372, 51958316, 175571071, 593268299, 2004704682, 6774075554, 22890197334, 77347965186, 261365481435, 883176688023, 2984330940525, 10084314105326 (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) - 27*a(n-2) + 56*a(n-3) - 75*a(n-4) + 61*a(n-5) - 28*a(n-6) + 7*a(n-7) - a(n-8) for n>9.

Empirical g.f.: x*(12 - 70*x + 200*x^2 - 367*x^3 + 425*x^4 - 301*x^5 + 126*x^6 - 30*x^7 + 4*x^8) / ((1 - x)^3*(1 - 5*x + 9*x^2 - 13*x^3 + 4*x^4 - x^5)). - Colin Barker, Jan 31 2019

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Row 5 of A274895.

Sequence in context: A297427 A211115 A232936 * A030736 A227854 A003346

Adjacent sequences:  A274894 A274895 A274896 * A274898 A274899 A274900

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 10 2016

STATUS

approved

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Last modified July 27 17:35 EDT 2021. Contains 346308 sequences. (Running on oeis4.)