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T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last
8

%I #5 Mar 31 2012 12:36:00

%S 252,1248,1248,6132,4546,6132,30024,17077,17077,30024,149112,66822,

%T 50590,66822,149112,736200,281876,161097,161097,281876,736200,3618864,

%U 1216766,579771,425814,579771,1216766,3618864,17994960,5366312,2185733,1315452

%N T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, three of another, and five of the last

%C Table starts

%C .......252......1248.....6132....30024...149112...736200..3618864.17994960

%C ......1248......4546....17077....66822...281876..1216766..5366312.24695528

%C ......6132.....17077....50590...161097...579771..2185733..8600335.36366658

%C .....30024.....66822...161097...425814..1315452..4331259.15153995.58565527

%C ....149112....281876...579771..1315452..3530858.10185105

%C ....736200...1216766..2185733..4331259.10185105

%C ...3618864...5366312..8600335.15153995

%C ..17994960..24695528.36366658

%C ..88970832.114505124

%C .437998752

%H R. H. Hardin, <a href="/A184505/b184505.txt">Table of n, a(n) for n = 1..59</a>

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 16 2011