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A237965 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 9
81, 340, 340, 1422, 1944, 1422, 6042, 10942, 10942, 6042, 25777, 64146, 81483, 64146, 25777, 109200, 378532, 645156, 645156, 378532, 109200, 462852, 2202258, 5242451, 7259122, 5242451, 2202258, 462852, 1962464, 12775098, 41361664, 84562206 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......81........340.........1422...........6042............25777

......340.......1944........10942..........64146...........378532

.....1422......10942........81483.........645156..........5242451

.....6042......64146.......645156........7259122.........84562206

....25777.....378532......5242451.......84562206.......1421887147

...109200....2202258.....41361664......940160466......22274482472

...462852...12775098....324579268....10256817488.....341724039082

..1962464...74571092...2567231540...114442690994....5408347744632

..8337456..435574126..20445704700..1289184763590...87004865397990

.35340888.2537879368.161413538260.14363355184818.1370936608541092

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 216*a(n-4) +1692*a(n-6) +4288*a(n-8) +3968*a(n-10) +1024*a(n-12)

k=2: [order 24]

k=3: [order 82] for n>83

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A237861 A236902 A236895 * A238046 A237958 A238039

Adjacent sequences:  A237962 A237963 A237964 * A237966 A237967 A237968

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 16 2014

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)