A251451 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

45, 230, 230, 1223, 2429, 1223, 6505, 26633, 26633, 6505, 34674, 295339, 618813, 295339, 34674, 184818, 3275490, 14434472, 14434472, 3275490, 184818, 985223, 36343085, 337561156, 711649307, 337561156, 36343085, 985223, 5251978

Offset

1,1

Comments

Table starts

.......45.........230............1223...............6505.................34674

......230........2429...........26633.............295339...............3275490

.....1223.......26633..........618813...........14434472.............337561156

.....6505......295339........14434472..........711649307...........35114707166

....34674.....3275490.......337561156........35114707166.........3659979005933

...184818....36343085......7891330499......1733325153538.......381496462120620

...985223...403222305....184506926190.....85556587695052.....39771181944389404

..5251978..4473823718...4313788353029...4223166671228639...4146091857809619765

.27997157.49637592540.100857947002791.208458935686468001.432229535093071132448

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +4*a(n-2) -11*a(n-3) -6*a(n-4) +5*a(n-5) +4*a(n-6)

k=2: [order 18]

k=3: [order 36] for n>37

k=4: [order 88] for n>90

Example

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

Crossrefs

Sequence in context: A087442 A334035 A280059 * A251444 A169717 A246420

Adjacent sequences: A251448 A251449 A251450 * A251452 A251453 A251454

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2014

Status

approved