A205048 Number of (n+1)X2 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

81, 243, 803, 2892, 10948, 43261, 174282, 709813, 2904299, 11912535, 48917149, 200991165, 826074359, 3395693794, 13959599701, 57390029458, 235944613954, 970038942121, 3988147567016, 16396640414068, 67412338625033

Offset

1,1

Comments

Column 1 of A205055

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -19*a(n-2) +5*a(n-3) +55*a(n-4) -130*a(n-5) +110*a(n-6) +76*a(n-7) -206*a(n-8) +143*a(n-9) -127*a(n-10) +149*a(n-11) -69*a(n-12) +26*a(n-13) -34*a(n-14) +18*a(n-15) -7*a(n-16) -3*a(n-17) +10*a(n-18) -4*a(n-19) for n>21

Example

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

Crossrefs

Sequence in context: A205055 A335843 A255625 * A008876 A031456 A045009

Adjacent sequences: A205045 A205046 A205047 * A205049 A205050 A205051

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved