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A210348 1/4 of the number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having one, two or three distinct clockwise edge differences. 1
40, 431, 4615, 49484, 530580, 5689274, 61005068, 654148428, 7014344012, 75213872216, 806508362752, 8648082333016, 92732242176864, 994355562040080, 10662343125623728, 114330894613824704, 1225955056113872768 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A210355.

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) - 30*a(n-2) - 66*a(n-3) + 104*a(n-4) + 136*a(n-5).

Empirical g.f.: x*(5 - 18*x)*(8 + 3*x - 33*x^2 - 30*x^3) / (1 - 14*x + 30*x^2 + 66*x^3 - 104*x^4 - 136*x^5). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

..0..1....3..0....0..3....0..2....3..3....2..1....2..0....2..2....1..3....0..1

..1..2....0..3....3..0....0..0....3..2....0..0....1..3....0..2....3..3....0..0

..0..2....1..2....1..2....1..1....0..1....3..0....1..3....3..1....1..1....1..1

..2..2....2..1....0..3....2..0....2..1....0..3....1..1....0..2....1..3....3..3

..0..0....1..0....2..1....2..0....1..0....1..2....3..2....2..0....2..3....0..3

CROSSREFS

Cf. A210355.

Sequence in context: A247408 A285855 A210355 * A055750 A290611 A115189

Adjacent sequences:  A210345 A210346 A210347 * A210349 A210350 A210351

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 20 2012

STATUS

approved

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Last modified July 25 20:59 EDT 2021. Contains 346294 sequences. (Running on oeis4.)