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A184457 T(n,k)=1/36 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last 10

%I

%S 63,234,234,864,600,864,3159,1591,1591,3159,12879,4517,3125,4517,

%T 12879,51759,16029,6880,6880,16029,51759,203391,58413,20706,11766,

%U 20706,58413,203391,898857,216477,67180,28668,28668,67180,216477,898857,3877551

%N T(n,k)=1/36 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing two of one value, two of another, and five of the last

%C Table starts

%C .......63......234......864.....3159...12879...51759.203391..898857.3877551

%C ......234......600.....1591.....4517...16029...58413.216477..930657.3947025

%C ......864.....1591.....3125.....6880...20706...67180.232326..967138.4023354

%C .....3159.....4517.....6880....11766...28668...80058.253176.1011114.4109928

%C ....12879....16029....20706....28668...53350..116832.309042.1119528.4313386

%C ....51759....58413....67180....80058..116832..196974.413100.1288638

%C ...203391...216477...232326...253176..309042..413100.660654

%C ...898857...930657...967138..1011114.1119528.1288638

%C ..3877551..3947025..4023354..4109928.4313386

%C .16120377.16260821.16410550.16573530

%H R. H. Hardin, <a href="/A184457/b184457.txt">Table of n, a(n) for n = 1..96</a>

%F Empirical for columns 2 to at least 4: a(n)=6*a(n-1)-11*a(n-2)+195*a(n-3)-1134*a(n-4)+2079*a(n-5)-11600*a(n-6)+62796*a(n-7)-115126*a(n-8)+263520*a(n-9)-1204344*a(n-10)+2207964*a(n-11)-2907648*a(n-12)+10219824*a(n-13)-18736344*a(n-14)+17243280*a(n-15)-42140736*a(n-16)+77258016*a(n-17)-55857600*a(n-18)+82301184*a(n-19)-150885504*a(n-20)+92378880*a(n-21)-60466176*a(n-22)+110854656*a(n-23)-60466176*a(n-24)

%e Some solutions with a(1,1)=0 for 5X4

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 14 2011

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Last modified October 22 02:52 EDT 2020. Contains 337950 sequences. (Running on oeis4.)