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A236780 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock 6

%I

%S 81,474,474,2797,4170,2797,16360,36260,36260,16360,95961,315666,

%T 471689,315666,95961,562284,2750070,6140316,6140316,2750070,562284,

%U 3296708,24023328,80610053,121728522,80610053,24023328,3296708,19317952

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock

%C Table starts

%C ........81.........474.........2797........16360.........95961........562284

%C .......474........4170........36260.......315666.......2750070......24023328

%C ......2797.......36260.......471689......6140316......80610053....1058879504

%C .....16360......315666......6140316....121728522....2437062052...49038860968

%C .....95961.....2750070.....80610053...2437062052...75317723364.2336323498652

%C ....562284....24023328...1058879504..49038860968.2336323498652

%C ...3296708...209304200..13857495596.976380249206

%C ..19317952..1823484380.181102978376

%C .113216324.15890176976

%C .663531280

%H R. H. Hardin, <a href="/A236780/b236780.txt">Table of n, a(n) for n = 1..60</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 17]

%F k=2: [order 62]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 31 2014

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Last modified January 26 22:05 EST 2022. Contains 350601 sequences. (Running on oeis4.)