A254736 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column minus the sum of the minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically

512, 2848, 13504, 62579, 281213, 1223367, 5203324, 21804750, 90310600, 370603448, 1509199829, 6107273564, 24583109306, 98509547315, 393228178451, 1564462436101, 6206195362309, 24557505623608, 96955687292333

Offset

1,1

Comments

Column 1 of A254743

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -28*a(n-2) +46*a(n-3) -59*a(n-4) -81*a(n-5) +576*a(n-6) -1373*a(n-7) +2977*a(n-8) -4744*a(n-9) +6620*a(n-10) -10881*a(n-11) +14299*a(n-12) -20512*a(n-13) +28752*a(n-14) -21216*a(n-15) +5616*a(n-16) for n>20

Example

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

Crossrefs

Sequence in context: A254915 A257154 A254743 * A254586 A254361 A254354

Adjacent sequences: A254733 A254734 A254735 * A254737 A254738 A254739

Keyword

nonn

Author

R. H. Hardin, Feb 06 2015

Status

approved