A237730 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 348, 348, 1510, 2152, 1510, 6610, 13496, 13496, 6610, 28877, 86010, 122940, 86010, 28877, 125428, 542946, 1145290, 1145290, 542946, 125428, 545952, 3412698, 10499035, 15828110, 10499035, 3412698, 545952, 2381432, 21521906, 95855164

Offset

1,1

Comments

Table starts

.......81........348.........1510...........6610.............28877

......348.......2152........13496..........86010............542946

.....1510......13496.......122940........1145290..........10499035

.....6610......86010......1145290.......15828110.........213127880

....28877.....542946.....10499035......213127880........4174594857

...125428....3412698.....95855164.....2855466356.......81322186248

...545952...21521906....880137130....38540080508.....1600427032562

..2381432..136316506...8127250116...526083461626....31963255437824

.10387640..860711592..74629273042..7105289200594...628861098745518

.45202024.5425536832.683964254956.95708446038402.12333769685662064

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: a(n) = 272*a(n-4) +1668*a(n-6) +172*a(n-8) +16*a(n-10) for n>13

k=2: [order 22] for n>24

k=3: [order 88] for n>91

Example

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

Crossrefs

Sequence in context: A236737 A236730 A237324 * A237317 A237723 A237472

Adjacent sequences: A237727 A237728 A237729 * A237731 A237732 A237733

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 12 2014

Status

approved