A252219 - OEIS

%I #4 Dec 15 2014 09:55:57

%S 874,1212,1212,1843,1078,1843,3147,1437,1437,3147,5011,2836,3303,2836,

%T 5011,8178,6674,10486,10486,6674,8178,14627,17478,35674,44776,35674,

%U 17478,14627,26610,47580,122694,188866,188866,122694,47580,26610,50441

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 5 6 or 7

%C Table starts

%C ...874...1212.....1843......3147.......5011........8178........14627

%C ..1212...1078.....1437......2836.......6674.......17478........47580

%C ..1843...1437.....3303.....10486......35674......122694.......420596

%C ..3147...2836....10486.....44776.....188866......801122......3410786

%C ..5011...6674....35674....188866.....984604.....5218112.....27565870

%C ..8178..17478...122694....801122....5218112....34351865....225314934

%C .14627..47580...420596...3410786...27565870...225314934...1834743852

%C .26610.130032..1446932..14539238..145417326..1478226841..14935638689

%C .50441.357094..4990626..61939226..769096658..9717153336.121853394501

%C .99604.983466.17183216.263654432.4065302226.63795462270.993165752194

%H R. H. Hardin, <a href="/A252219/b252219.txt">Table of n, a(n) for n = 1..312</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 61] for n>69

%F k=2: [order 17] for n>25

%F k=3: [order 18] for n>22

%F k=4: [order 26] for n>29

%F k=5: [order 46] for n>48

%F k=6: [order 74] for n>76

%e Some solutions for n=4 k=4

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

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 15 2014