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A275179 Number of n X 4 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2. 1
14, 64, 89, 141, 353, 914, 2386, 6228, 16249, 42451, 111108, 291065, 762378, 1995896, 5223852, 13673069, 35794346, 93714905, 245360591, 642367172, 1681704625, 4402670689, 11526266952, 30176270194, 79002891883, 206832552922 (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) - 28*a(n-2) + 57*a(n-3) - 70*a(n-4) + 47*a(n-5) - 12*a(n-6) - a(n-7) - 2*a(n-8) + a(n-9) for n>12.

Empirical g.f.: x*(14 - 48*x - 31*x^2 + 423*x^3 - 951*x^4 + 787*x^5 + 311*x^6 - 920*x^7 + 378*x^8 + 125*x^9 + 29*x^10 - 32*x^11) / ((1 - 3*x + x^2)*(1 - 5*x + 12*x^2 - 16*x^3 + 10*x^4 - x^5 - x^6 - x^7)). - Colin Barker, Feb 01 2019

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Column 4 of A275183.

Sequence in context: A229738 A239856 A214483 * A050396 A069964 A275127

Adjacent sequences:  A275176 A275177 A275178 * A275180 A275181 A275182

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 19 2016

STATUS

approved

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Last modified December 14 12:04 EST 2019. Contains 329979 sequences. (Running on oeis4.)