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A183722 1/12 the number of (n+1) X 3 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction. 1
1, 2, 29, 388, 4170, 41423, 388998, 3528126, 31206553, 270945278, 2318825000, 19619049541, 164448364546, 1367755750914, 11301610770163, 92861669073522, 759320826126174, 6182626278886591, 50153160109476104, 405492870969390486 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 2 of A183729.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=14*a(n-1)-36*a(n-2)-115*a(n-3)+125*a(n-4)+164*a(n-5)-155*a(n-6)-29*a(n-7)+34*a(n-8)+a(n-9)-2*a(n-10).

EXAMPLE

Some solutions with the first block increasing clockwise for 5 X 3:

..2..4..3....4..0..3....1..4..2....1..2..1....1..2..1....1..3..2....3..5..4

..1..0..1....2..1..2....0..5..0....0..5..0....0..3..0....5..4..5....2..1..2

..2..5..2....3..0..3....1..4..1....1..4..1....5..4..5....0..3..0....3..0..3

..3..4..3....4..5..4....2..3..2....2..3..2....0..2..0....1..2..1....4..5..4

..1..5..1....1..0..2....0..4..0....5..4..1....5..3..4....4..3..5....2..1..2

...

...R..L.......R..L.......R..L.......R..L.......R..L.......R..L.......R..L...

...L..R.......L..R.......L..R.......L..R.......R..L.......L..R.......L..R...

...L..R.......L..R.......L..R.......L..R.......L..R.......L..R.......L..R...

...R..L.......R..L.......R..L.......R..L.......R..L.......R..L.......R..L...

CROSSREFS

Sequence in context: A198698 A094940 A152274 * A104535 A264175 A187362

Adjacent sequences:  A183719 A183720 A183721 * A183723 A183724 A183725

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 06 2011

STATUS

approved

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Last modified October 7 06:14 EDT 2022. Contains 357270 sequences. (Running on oeis4.)