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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

%I

%S 81,340,340,1422,1944,1422,6042,10942,10942,6042,25777,64146,81483,

%T 64146,25777,109200,378532,645156,645156,378532,109200,462852,2202258,

%U 5242451,7259122,5242451,2202258,462852,1962464,12775098,41361664,84562206

%N 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

%C Table starts

%C .......81........340.........1422...........6042............25777

%C ......340.......1944........10942..........64146...........378532

%C .....1422......10942........81483.........645156..........5242451

%C .....6042......64146.......645156........7259122.........84562206

%C ....25777.....378532......5242451.......84562206.......1421887147

%C ...109200....2202258.....41361664......940160466......22274482472

%C ...462852...12775098....324579268....10256817488.....341724039082

%C ..1962464...74571092...2567231540...114442690994....5408347744632

%C ..8337456..435574126..20445704700..1289184763590...87004865397990

%C .35340888.2537879368.161413538260.14363355184818.1370936608541092

%H R. H. Hardin, <a href="/A237965/b237965.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

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

%F k=2: [order 24]

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

%e Some solutions for n=3 k=4

%e ..0..1..1..1..1....0..2..0..1..1....0..0..1..1..2....0..2..0..2..1

%e ..0..1..0..0..1....0..1..1..1..1....0..0..1..0..2....0..1..2..2..2

%e ..0..2..1..2..2....0..0..1..1..0....1..1..1..0..1....2..2..1..2..0

%e ..1..1..2..2..0....1..2..2..1..0....2..1..1..1..0....0..0..1..1..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 16 2014

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Last modified August 11 03:41 EDT 2022. Contains 356046 sequences. (Running on oeis4.)