The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A251819 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime 9

%I #4 Dec 09 2014 11:30:07

%S 345,500,500,738,538,738,1215,771,771,1215,1973,1511,1754,1511,1973,

%T 3349,3501,5401,5401,3501,3349,6066,9040,18227,22922,18227,9040,6066,

%U 11665,24411,62457,96649,96649,62457,24411,11665,23442,66516,213857,409196

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

%C Table starts

%C ...345....500.....738......1215.......1973........3349.........6066

%C ...500....538.....771......1511.......3501........9040........24411

%C ...738....771....1754......5401......18227.......62457.......213857

%C ..1215...1511....5401.....22922......96649......409196......1741500

%C ..1973...3501...18227.....96649.....504148.....2670355.....14105237

%C ..3349...9040...62457....409196....2670355....17562309....115183429

%C ..6066..24411..213857...1741500...14105237...115183429....937980816

%C .11665..66516..735191...7424379...74389411...755607816...7634089673

%C .23442.182350.2535595..31630192..393421321..4967204967..62282795883

%C .48256.501847.8732059.134638409.2079994178.32613907072.507708323914

%H R. H. Hardin, <a href="/A251819/b251819.txt">Table of n, a(n) for n = 1..420</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 27] for n>35

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

%F k=3: [order 18] for n>21

%F k=4: [order 26] for n>28

%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 ..1..0..1..1..1..1....1..0..1..1..1..0....1..1..1..1..1..1....1..0..1..1..1..0

%e ..1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..0..1....0..1..1..0..1..1

%e ..1..1..1..1..1..1....1..1..1..1..0..1....1..1..0..1..1..1....1..1..1..1..1..1

%e ..0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..0....1..1..1..1..0..1

%e ..1..1..0..1..1..1....0..1..1..1..1..0....1..1..1..1..1..1....1..1..0..1..1..1

%e ..1..1..1..1..0..1....1..1..0..1..1..1....0..1..1..1..0..1....0..1..1..1..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 09 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 3 09:58 EDT 2024. Contains 374885 sequences. (Running on oeis4.)