A210107 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order

7, 30, 30, 135, 225, 135, 614, 1690, 1690, 614, 2799, 12725, 20687, 12725, 2799, 12766, 95830, 254314, 254314, 95830, 12766, 58231, 721705, 3125615, 5115121, 3125615, 721705, 58231, 265622, 5435250, 38420586, 102841182, 102841182, 38420586

Offset

1,1

Comments

Table starts

......7.......30........135..........614............2799.............12766

.....30......225.......1690........12725...........95830............721705

....135.....1690......20687.......254314.........3125615..........38420586

....614....12725.....254314......5115121.......102841182........2068413037

...2799....95830....3125615....102841182......3382058727......111283430198

..12766...721705...38420586...2068413037....111283430198.....5991606341393

..58231..5435250..472285295..41604910322...3662188386511...322655579663298

.265622.40933565.5805666474.836912242697.120530162560270.17377924547360597

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

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

Crossrefs

Sequence in context: A061644 A053621 A339098 * A266604 A018831 A063128

Adjacent sequences: A210104 A210105 A210106 * A210108 A210109 A210110

Keyword

nonn,tabl

Author

R. H. Hardin Mar 17 2012

Status

approved