A205761 Number of (n+1)X2 0..3 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors

192, 1262, 8659, 62607, 462040, 3490700, 26672819, 205747848, 1595214033, 12413756669, 96806542939, 756001274858, 5908892541394, 46209002829411, 361485247026700, 2828432016655919, 22133840165287141, 173221954994087709

Offset

1,1

Comments

Column 1 of A205768

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +34*a(n-2) -95*a(n-3) -439*a(n-4) -247*a(n-5) +510*a(n-6) -285*a(n-7) -1600*a(n-8) +110*a(n-9) +1431*a(n-10) -111*a(n-11) -883*a(n-12) -96*a(n-13) +262*a(n-14) +100*a(n-15) +8*a(n-16) for n>17

Example

Some solutions for 5X5
..0..1....2..2....0..1....3..1....0..3....2..1....1..2....2..0....0..3....0..1
..3..1....0..2....3..3....3..3....1..1....1..3....1..3....1..1....2..3....1..2
..1..3....1..1....1..0....1..2....1..2....2..0....3..0....3..2....3..3....0..2
..2..1....2..3....2..1....1..1....1..1....3..1....1..2....2..1....0..2....2..1
..1..2....2..2....3..2....0..1....0..1....0..2....0..1....3..2....1..1....0..3

Crossrefs

Sequence in context: A101451 A094949 A205768 * A346251 A133064 A183685

Adjacent sequences: A205758 A205759 A205760 * A205762 A205763 A205764

Keyword

nonn

Author

R. H. Hardin Jan 30 2012

Status

approved