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A230801 Number of nX3 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero 1
0, 2, 14, 40, 298, 1546, 8704, 50450, 286426, 1650968, 9481842, 54537066, 313793424, 1805343618, 10388621898, 59779183384, 343996534162, 1979528849242, 11391230879008, 65551238025090, 377217128316090, 2170711959147608 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A230805
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) -7*a(n-2) -40*a(n-3) +3*a(n-4) +221*a(n-5) -237*a(n-6) -55*a(n-7) +182*a(n-8) -270*a(n-9) +324*a(n-10) -172*a(n-11) +112*a(n-12) -64*a(n-13)
EXAMPLE
Some solutions for n=4
..0..1..0....0..3..2....0..1..0....0..3..0....0..3..2....0..3..0....0..3..0
..3..2..3....1..2..1....3..2..3....1..2..1....1..0..1....1..2..1....1..2..1
..1..0..1....0..3..0....0..1..0....0..3..0....2..3..2....0..1..0....0..3..0
..2..3..2....1..2..1....1..2..3....1..2..3....1..0..1....3..2..3....1..2..1
CROSSREFS
Sequence in context: A329735 A290124 A192349 * A231081 A364218 A152670
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 30 2013
STATUS
approved

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Last modified July 21 09:38 EDT 2024. Contains 374472 sequences. (Running on oeis4.)