

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(n1) a(n2) a(n3) +2*a(n4).
Empirical: G.f.: 2*x*(53*xx^2+2*x^3) / ( 1+4*xx^2x^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



