A234763 Number of (n+1)X(2+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions but not both

240, 1624, 9404, 64180, 398696, 2678704, 17095452, 113639852, 734839992, 4854653704, 31602975908, 208063060500, 1359127599368, 8931080869632, 58444233063876, 383651997405084, 2512900960515088, 16486518956098136

Offset

1,1

Comments

Column 2 of A234769

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +21*a(n-2) -252*a(n-3) +125*a(n-4) +1818*a(n-5) -2050*a(n-6) -4364*a(n-7) +6237*a(n-8) +2860*a(n-9) -5787*a(n-10) +336*a(n-11) +1311*a(n-12) -262*a(n-13)

Example

Some solutions for n=4
..0..0..2....1..3..1....3..1..0....2..2..0....3..0..2....1..1..1....0..1..3
..2..1..2....2..3..2....2..2..3....0..1..0....2..1..2....2..3..2....2..2..2
..2..0..2....1..1..2....3..1..0....2..1..2....0..1..0....2..1..2....3..1..3
..1..1..2....2..0..3....3..2..0....0..1..0....2..2..3....2..3..2....3..2..3
..2..0..2....2..1..2....0..1..1....0..2..3....3..1..3....1..3..1....0..1..0

Crossrefs

Sequence in context: A233878 A157766 A268906 * A268796 A290655 A212781

Adjacent sequences: A234760 A234761 A234762 * A234764 A234765 A234766

Keyword

nonn

Author

R. H. Hardin, Dec 30 2013

Status

approved