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A232902 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. 1
10, 34, 194, 1034, 4986, 24498, 122994, 613658, 3048362, 15169602, 75553058, 376118570, 1872104666, 9319393234, 46393400018, 230946825274, 1149651799818, 5722999066210, 28489256322434, 141820122223178, 705983637088826 (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) = 4*a(n-1) - a(n-2) + 26*a(n-3) + 16*a(n-4).

Empirical g.f.: 2*x*(5 - 3*x + 34*x^2 + 16*x^3) / (1 - 4*x + x^2 - 26*x^3 - 16*x^4). - Colin Barker, Oct 06 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 2 of A232908.

Sequence in context: A001446 A264671 A341300 * A001890 A221810 A219591

Adjacent sequences:  A232899 A232900 A232901 * A232903 A232904 A232905

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 02 2013

STATUS

approved

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Last modified August 3 02:48 EDT 2021. Contains 346435 sequences. (Running on oeis4.)