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T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents
5

%I #5 Mar 31 2012 12:37:04

%S 256,3184,3184,39419,113020,39419,484930,3913664,3913664,484930,

%T 5968388,134492814,374394468,134492814,5968388,73466056,4627087816,

%U 35397425472,35397425472,4627087816,73466056,904294268,159230783550,3354947677511

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents

%C Table starts

%C .........256..........3184...........39419...........484930..........5968388

%C ........3184........113020.........3913664........134492814.......4627087816

%C .......39419.......3913664.......374394468......35397425472....3354947677511

%C ......484930.....134492814.....35397425472....9189935725324.2393499328421734

%C .....5968388....4627087816...3354947677511.2393499328421734

%C ....73466056..159230783550.318050403261864

%C ...904294268.5479201370346

%C .11130780320

%H R. H. Hardin, <a href="/A205037/b205037.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3 k=3

%e ..2..1..0..2....1..2..1..2....0..0..1..1....2..3..0..0....1..0..3..1

%e ..1..0..3..3....3..0..1..2....1..1..2..2....1..0..3..3....0..1..0..2

%e ..2..2..1..2....0..1..3..0....3..0..2..1....3..1..3..1....3..1..1..2

%e ..2..1..0..2....2..0..3..0....2..2..3..3....0..0..1..1....1..1..2..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 21 2012