A251445 Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

230, 2429, 26633, 295339, 3275490, 36343085, 403222305, 4473823718, 49637592540, 550735918201, 6110487718079, 67796678363317, 752213181106743, 8345905588826365, 92598935523367524, 1027397539720172063

Offset

1,1

Comments

Column 2 of A251451

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +34*a(n-2) -100*a(n-3) -243*a(n-4) +272*a(n-5) +534*a(n-6) -258*a(n-7) -265*a(n-8) +231*a(n-9) -151*a(n-10) -110*a(n-11) +234*a(n-12) +2*a(n-13) -65*a(n-14) +20*a(n-15) +a(n-16) -4*a(n-17) +a(n-18)

Example

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

Crossrefs

Sequence in context: A304389 A211711 A211716 * A251283 A251276 A194490

Adjacent sequences: A251442 A251443 A251444 * A251446 A251447 A251448

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved