A206512 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in 2X2 subblocks nondecreasing rightwards and downwards

81, 549, 549, 3399, 7737, 3399, 19797, 93405, 93405, 19797, 111495, 1020756, 2105607, 1020756, 111495, 614367, 10505604, 41873838, 41873838, 10505604, 614367, 3337695, 103812645, 769739571, 1483188648, 769739571, 103812645

Offset

1,1

Comments

Table starts

.......81........549..........3399............19797.............111495

......549.......7737.........93405..........1020756...........10505604

.....3399......93405.......2105607.........41873838..........769739571

....19797....1020756......41873838.......1483188648........47830788954

...111495...10505604.....769739571......47830788954......2671430859687

...614367..103812645...13397007426....1444445274765....138401623325535

..3337695..997160112..224125465767...41561685861258...6781274991216915

.17958813.9383642739.3639506017737.1152430341911256.318257080720663863

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

Some solutions for n=4 k=3
..1..1..1..1....1..1..0..0....0..1..2..0....1..0..2..0....1..1..0..1
..1..0..0..0....1..2..2..0....1..1..2..0....1..0..0..0....2..1..2..0
..1..2..2..2....0..1..0..2....2..2..2..1....2..2..0..2....1..2..1..2
..1..1..2..1....2..0..1..0....2..0..0..2....0..0..0..2....0..0..2..0
..0..2..0..2....0..1..2..1....0..2..1..0....0..1..1..1....2..1..0..2

Crossrefs

Sequence in context: A235560 A253468 A253462 * A235833 A235588 A206505

Adjacent sequences: A206509 A206510 A206511 * A206513 A206514 A206515

Keyword

nonn,tabl

Author

R. H. Hardin Feb 08 2012

Status

approved