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.

92, 105, 105, 183, 152, 183, 375, 419, 419, 375, 767, 1135, 1497, 1135, 767, 1573, 3029, 5085, 5085, 3029, 1573, 3279, 8352, 17455, 21862, 17455, 8352, 3279, 6994, 23091, 60245, 92225, 92225, 60245, 23091, 6994, 15046, 63460, 206747, 391934, 480464

Offset: 1

Author

R. H. Hardin, Dec 13 2014

Keywords

• nonn
• tabl

Comments

Table starts

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

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

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

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

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

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

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

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

.15046.174704.2455039..30309042..375675345..4749948377..59570598626

.32452.481577.8451165.129016031.1985308056.31181555206.485457428288

Examples

			Some solutions for n=4 k=4
..2..1..2..2..2..1....2..2..2..2..2..2....2..2..1..2..2..2....1..2..2..2..1..2
..1..2..2..2..2..2....2..1..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..1
..2..2..2..2..2..2....2..2..2..2..1..2....2..1..2..2..2..2....2..1..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..1..2....2..2..2..2..2..2
..2..1..2..2..1..2....2..2..2..2..2..2....1..2..2..2..2..2....1..2..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..2..1....2..2..2..1..2..2....2..1..2..2..2..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..391

Formula

Empirical for column k:

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

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

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

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

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

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