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A204732 T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with the permanents of all 2X2 subblocks equal and nonzero. 9

%I

%S 544,1624,1624,4772,12744,4772,15688,44726,44726,15688,50920,353626,

%T 264998,353626,50920,171860,1425462,2122560,2122560,1425462,171860,

%U 576738,10332706,14348560,45026614,14348560,10332706,576738,1965706

%N T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with the permanents of all 2X2 subblocks equal and nonzero.

%C Table starts

%C .....544......1624.......4772........15688..........50920...........171860

%C ....1624.....12744......44726.......353626........1425462.........10332706

%C ....4772.....44726.....264998......2122560.......14348560........108530190

%C ...15688....353626....2122560.....45026614......304649012.......6063334774

%C ...50920...1425462...14348560....304649012.....3884003062......72313926190

%C ..171860..10332706..108530190...6063334774....72313926190....3923500974342

%C ..576738..45388048..763490340..44356355508..1027778516124...49973876676266

%C .1965706.307057212.5669180550.831511885930.17963607952810.2620184692100666

%H R. H. Hardin, <a href="/A204732/b204732.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=4 k=3

%e ..3..1..2..2....3..2..0..2....4..3..4..3....3..0..3..2....4..0..4..0

%e ..2..2..4..0....4..0..4..3....0..1..0..1....1..2..0..2....1..4..2..4

%e ..2..2..0..2....3..2..0..2....4..4..4..3....1..4..3..0....3..4..2..4

%e ..1..3..4..4....1..2..4..1....0..1..0..1....1..2..0..2....4..0..4..0

%e ..2..2..0..2....3..2..0..2....4..3..4..2....1..4..3..3....3..4..4..4

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 18 2012

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Last modified October 25 13:27 EDT 2021. Contains 348252 sequences. (Running on oeis4.)