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T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock having the sum of its 72 absolute element differences equal to 34
5

%I #4 Dec 31 2013 07:40:20

%S 4032,28716,28716,204618,210824,204618,1480140,1558794,1558794,

%T 1480140,11003508,12037784,11986548,12037784,11003508,81917442,

%U 101023812,97872942,97872942,101023812,81917442,610407090,861681106,915484978

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock having the sum of its 72 absolute element differences equal to 34

%C Table starts

%C .......4032......28716.....204618....1480140...11003508....81917442...610407090

%C ......28716.....210824....1558794...12037784..101023812...861681106..7462515426

%C .....204618....1558794...11986548...97872942..915484978..8821627260.87612133394

%C ....1480140...12037784...97872942..835070408.8549422028.90543432272

%C ...11003508..101023812..915484978.8549422028

%C ...81917442..861681106.8821627260

%C ..610407090.7462515426

%C .4599763200

%H R. H. Hardin, <a href="/A234838/b234838.txt">Table of n, a(n) for n = 1..40</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 38]

%e Some solutions for n=1 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 31 2013