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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified August 16 15:34 EDT 2022. Contains 356168 sequences. (Running on oeis4.)