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A232583 Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal 1
10, 34, 124, 456, 1686, 6232, 23034, 85130, 314626, 1162804, 4297528, 15882942, 58700688, 216947890, 801802986, 2963329250, 10951967500, 40476633544, 149594843398, 552877431048, 2043342182250, 7551849721642, 27910368960066 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A232589

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -a(n-2) -a(n-3) +2*a(n-4).

Empirical: G.f.: -2*x*(5-3*x-x^2+2*x^3) / ( -1+4*x-x^2-x^3+2*x^4 ). - R. J. Mathar, Nov 23 2014

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A119227 A218631 A166066 * A068078 A067806 A001446

Adjacent sequences:  A232580 A232581 A232582 * A232584 A232585 A232586

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 26 2013

STATUS

approved

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Last modified July 30 10:27 EDT 2021. Contains 346359 sequences. (Running on oeis4.)