A255031 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

10732, 39935, 100001, 154706, 256941, 346115, 425667, 483327, 564619, 632901, 701043, 836587, 1021517, 1171065, 1356855, 1714749, 2271453, 2661655, 3243563, 4550401, 6551023, 7910695, 9993545, 15041525, 22882483, 28076857, 36170329

Offset

1,1

Comments

Column 3 of A255036

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +4*a(n-4) -3*a(n-5) -5*a(n-6) +3*a(n-7) +a(n-8) -4*a(n-9) +4*a(n-10) +4*a(n-11) -4*a(n-12) for n>23

Example

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

Crossrefs

Cf. A255036

Sequence in context: A247854 A117090 A255038 * A256949 A146320 A211607

Adjacent sequences: A255028 A255029 A255030 * A255032 A255033 A255034

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved