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A204153 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order 9

%I #5 Mar 31 2012 12:37:01

%S 689,3902,3902,22262,28982,22262,127022,156494,156494,127022,724154,

%T 891662,844136,891662,724154,4128422,5117114,4683434,4683434,5117114,

%U 4128422,23538722,29610374,26968208,26497814,26968208,29610374,23538722

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

%C Table starts

%C .......689......3902......22262......127022.......724154......4128422

%C ......3902.....28982.....156494......891662......5117114.....29610374

%C .....22262....156494.....844136.....4683434.....26968208....152500334

%C ....127022....891662....4683434....26497814....146747822....826613438

%C ....724154...5117114...26968208...146747822....839477288...4563772922

%C ...4128422..29610374..152500334...826613438...4563772922..25723818038

%C ..23538722.169527242..864266300..4577683574..25275772916.138134688554

%C .134209022.970408838.4899355202.25733247662.139642744838.761533538294

%H R. H. Hardin, <a href="/A204153/b204153.txt">Table of n, a(n) for n = 1..179</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 11 2012

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Last modified April 23 22:36 EDT 2024. Contains 371917 sequences. (Running on oeis4.)