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A238046 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 9
81, 340, 340, 1440, 1944, 1440, 6064, 10812, 10812, 6064, 25948, 61668, 81524, 61668, 25948, 109200, 352180, 621780, 621780, 352180, 109200, 466296, 1999804, 4837484, 6698520, 4837484, 1999804, 466296, 1962720, 11359816, 36440340, 70363916 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81........340.........1440..........6064...........25948

......340.......1944........10812.........61668..........352180

.....1440......10812........81524........621780.........4837484

.....6064......61668.......621780.......6698520........70363916

....25948.....352180......4837484......70363916......1021660750

...109200....1999804.....36440340.....735878108.....14397005860

...466296...11359816....282305082....7744640808....209192156822

..1962720...64650988...2134998732...81468910084...2964129769048

..8385248..367695852..16538701324..855621962264..42974757198114

.35292928.2090439976.124970610892.8992624643448.608837111985680

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 8*a(n-2) +152*a(n-4) +472*a(n-6) +384*a(n-8)

k=2: [order 13]

k=3: [order 50]

EXAMPLE

Some solutions for n=3 k=4

..0..1..1..0..2....0..0..2..2..1....0..1..1..1..0....0..0..2..0..1

..0..1..0..2..0....0..1..2..0..0....0..1..2..2..1....0..1..0..2..0

..0..0..2..0..1....0..2..2..1..0....1..1..2..0..0....0..2..1..0..0

..1..1..1..2..1....1..1..1..0..2....2..2..2..1..0....1..1..2..1..2

CROSSREFS

Sequence in context: A236902 A236895 A237965 * A237958 A238039 A232284

Adjacent sequences:  A238043 A238044 A238045 * A238047 A238048 A238049

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 17 2014

STATUS

approved

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Last modified June 24 22:23 EDT 2019. Contains 324337 sequences. (Running on oeis4.)