A205460 Number of (n+1)X3 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor

2120, 34792, 597288, 10306944, 177411808, 3053150968, 52550629576, 904498008200, 15568043401040, 267954287846248, 4611981247042176, 79380591266662712, 1366284435462423144, 23516241641189712120

Offset

1,1

Comments

Column 2 of A205466

Links

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

Formula

Empirical: a(n) = 13*a(n-1) +47*a(n-2) +381*a(n-3) +889*a(n-4) +1738*a(n-5) +1450*a(n-6) -1327*a(n-7) -5850*a(n-8) -6842*a(n-9) -201*a(n-10) +5987*a(n-11) +1609*a(n-12) -3010*a(n-13) +750*a(n-14) +1215*a(n-15) -1779*a(n-16) -1448*a(n-17) +771*a(n-18) +670*a(n-19) -118*a(n-20) -168*a(n-21) +44*a(n-22)

Example

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

Crossrefs

Sequence in context: A031544 A205660 A205949 * A263510 A250970 A238035

Adjacent sequences: A205457 A205458 A205459 * A205461 A205462 A205463

Keyword

nonn

Author

R. H. Hardin Jan 27 2012

Status

approved