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 A252075 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4 9

%I

%S 92,105,105,183,152,183,375,419,419,375,767,1135,1497,1135,767,1573,

%T 3029,5085,5085,3029,1573,3279,8352,17455,21862,17455,8352,3279,6994,

%U 23091,60245,92225,92225,60245,23091,6994,15046,63460,206747,391934,480464

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4

%C Table starts

%C ....92....105.....183.......375........767........1573.........3279

%C ...105....152.....419......1135.......3029........8352........23091

%C ...183....419....1497......5085......17455.......60245.......206747

%C ...375...1135....5085.....21862......92225......391934......1669294

%C ...767...3029...17455.....92225.....480464.....2547765.....13460641

%C ..1573...8352...60245....391934....2547765....16789564....110131513

%C ..3279..23091..206747...1669294...13460641...110131513....896763044

%C ..6994..63460..711749...7114867...71027923...722619033...7301549024

%C .15046.174704.2455039..30309042..375675345..4749948377..59570598626

%C .32452.481577.8451165.129016031.1985308056.31181555206.485457428288

%H R. H. Hardin, <a href="/A252075/b252075.txt">Table of n, a(n) for n = 1..391</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 12] for n>14

%F k=2: [order 9] for n>11

%F k=3: [order 16] for n>18

%F k=4: [order 24] for n>26

%F k=5: [order 44] for n>46

%F k=6: [order 72] for n>74

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 13 2014

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Last modified March 30 13:38 EDT 2023. Contains 361621 sequences. (Running on oeis4.)