A236746 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock equal

81, 267, 267, 833, 1411, 833, 2907, 7377, 7377, 2907, 10233, 46377, 68839, 46377, 10233, 37467, 300555, 810039, 810039, 300555, 37467, 139201, 2045011, 9665961, 17740369, 9665961, 2045011, 139201, 526395, 14169625, 119169209, 385709603

Offset

1,1

Comments

Table starts

......81........267...........833.............2907...............10233

.....267.......1411..........7377............46377..............300555

.....833.......7377.........68839...........810039.............9665961

....2907......46377........810039.........17740369...........385709603

...10233.....300555.......9665961........385709603.........14977205669

...37467....2045011.....119169209.......8588436417........593841590295

..139201...14169625....1475983975.....191076235235......23440803949645

..526395...99629489...18374935939....4264088666817.....927678773727315

.2012217..705755971..229046649189...95158587393555...36689437705628373

.7766523.5023764027.2857763330357.2124503121319369.1451552556039929475

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 18]

k=3: [order 38]

k=4: [order 86]

Example

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

Crossrefs

Sequence in context: A340697 A237637 A237630 * A236739 A237234 A237227

Adjacent sequences: A236743 A236744 A236745 * A236747 A236748 A236749

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2014

Status

approved