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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 02 2014
STATUS
approved