A253837 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

28540, 50462, 135011, 284109, 167413, 204420, 196053, 121909, 138562, 139402, 141250, 159838, 168367, 175214, 189876, 201617, 215914, 227036, 250380, 257766, 272217, 298454, 305857, 321184, 358073, 357590, 388392, 415853, 424007, 454393

Offset

1,1

Comments

Column 4 of A253841

Links

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

R. H. Hardin, polynomial of degree 4 plus a quasipolynomial of degree 2 with period 24

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-6) -4*a(n-7) +3*a(n-8) -2*a(n-9) +a(n-10) -a(n-12) +2*a(n-13) -3*a(n-14) +4*a(n-15) -2*a(n-16) +a(n-20) -2*a(n-21) +a(n-22) for n>34

Example

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

Crossrefs

Sequence in context: A145683 A205890 A186531 * A253844 A253931 A159056

Adjacent sequences: A253834 A253835 A253836 * A253838 A253839 A253840

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved