A253523 Number of (n+1)X(7+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically

876277, 2544290, 2419612, 2475610, 3429207, 5591131, 10168992, 21354009, 51569897, 137921376, 391536224, 1145589321, 3399373692, 10150512690, 30391595567, 91100083209, 273208024363, 819511203340, 2458396582146

Offset

1,1

Comments

Column 7 of A253524

Links

R. H. Hardin, Table of n, a(n) for n = 1..156

Formula

Empirical: a(n) = 9*a(n-1) -33*a(n-2) +65*a(n-3) -75*a(n-4) +51*a(n-5) -19*a(n-6) +3*a(n-7) for n>15

Example

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

Crossrefs

Sequence in context: A223886 A204509 A271263 * A254421 A254428 A271264

Adjacent sequences: A253520 A253521 A253522 * A253524 A253525 A253526

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved