A255751 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

8776, 24536, 51064, 71651, 81494, 108201, 145536, 211742, 299128, 414453, 561720, 828476, 1176512, 1635984, 2225984, 3293008, 4684384, 6521408, 8880544, 13147776, 18712416, 26059648, 35495328, 52563392, 74821088, 104209152, 141951008

Offset

1,1

Comments

Column 3 of A255756

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +4*a(n-4) -8*a(n-5) +4*a(n-6) for n>18

Example

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

Crossrefs

Cf. A255756

Sequence in context: A061665 A237484 A255758 * A254840 A156083 A249956

Adjacent sequences: A255748 A255749 A255750 * A255752 A255753 A255754

Keyword

nonn

Author

R. H. Hardin, Mar 05 2015

Status

approved