A251113 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

37, 147, 147, 526, 810, 526, 1844, 3616, 3616, 1844, 6544, 15281, 19131, 15281, 6544, 23334, 67518, 99147, 99147, 67518, 23334, 83126, 304870, 549944, 667626, 549944, 304870, 83126, 295938, 1369052, 3097574, 4633551, 4633551, 3097574, 1369052

Offset

1,1

Comments

Table starts

......37.......147........526........1844..........6544..........23334

.....147.......810.......3616.......15281.........67518.........304870

.....526......3616......19131.......99147........549944........3097574

....1844.....15281......99147......667626.......4633551.......32006770

....6544.....67518.....549944.....4633551......39326009......336432413

...23334....304870....3097574....32006770.....336432413.....3656310083

...83126...1369052...17154384...219945737....2909254399....39932445704

..295938...6118942...94541640..1519227598...25213072536...430092324035

.1053609..27356256..523362695.10534571961..217873020830..4617478843871

.3751373.122402144.2902098174.72985741167.1882537978094.49985974667101

Links

R. H. Hardin, Table of n, a(n) for n = 1..364

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) -8*a(n-2) +13*a(n-3) -12*a(n-4) +9*a(n-5) -5*a(n-6) +a(n-7)

k=2: [order 14]

k=3: [order 26] for n>27

k=4: [order 52] for n>54

Example

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

Crossrefs

Sequence in context: A262921 A031690 A157324 * A251106 A141968 A142656

Adjacent sequences: A251110 A251111 A251112 * A251114 A251115 A251116

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2014

Status

approved