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 A237067 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock equal 9

%I #4 Feb 03 2014 05:14:59

%S 81,255,255,826,1101,826,2823,5034,5034,2823,9815,25451,32336,25451,

%T 9815,34996,132095,243256,243256,132095,34996,125469,723774,1812742,

%U 2913981,1812742,723774,125469,457125,3983941,15086720,33501807,33501807

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

%C Table starts

%C ......81.......255.........826...........2823.............9815

%C .....255......1101........5034..........25451...........132095

%C .....826......5034.......32336.........243256..........1812742

%C ....2823.....25451......243256........2913981.........33501807

%C ....9815....132095.....1812742.......33501807........541432879

%C ...34996....723774....15086720......454477716......11326961712

%C ..125469...3983941...119493128.....5566497747.....191474736979

%C ..457125..22797711..1047778362....80054821507....4316927906497

%C .1664894.129296092..8543176066..1006565794326...74651943281780

%C .6142099.756671245.77036901078.14930004573317.1774932657426997

%H R. H. Hardin, <a href="/A237067/b237067.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 13]

%F k=2: [order 23]

%F k=3: [order 64]

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 03 2014

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Last modified September 30 05:35 EDT 2023. Contains 365781 sequences. (Running on oeis4.)