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A251567 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock summing to a prime 6

%I #4 Dec 04 2014 17:10:30

%S 1370,29476,29476,634130,1720558,634130,13645310,100477236,100477236,

%T 13645310,293605794,5871247808,15941867804,5871247808,293605794,

%U 6317788810,343048858208,2532196250950,2532196250950,343048858208

%N T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock summing to a prime

%C Table starts

%C ..........1370.............29476.................634130................13645310

%C .........29476...........1720558..............100477236..............5871247808

%C ........634130.........100477236............15941867804...........2532196250950

%C ......13645310........5871247808..........2532196250950........1093964209592036

%C .....293605794......343048858208........402177783997408......472585276023176018

%C ....6317788810....20045964354544......63887515354394210...204207519091414400944

%C ..135943372394..1171337430239996...10148236457554340550.88233636477075790007750

%C .2925210367882.68446666138149356.1612097555345198160542

%H R. H. Hardin, <a href="/A251567/b251567.txt">Table of n, a(n) for n = 1..60</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 14]

%F k=2: [order 83]

%e Some solutions for n=1 k=4

%e ..4..2..0..7..6....4..0..0..4..2....4..0..0..5..7....0..0..0..6..2

%e ..1..0..0..4..2....3..0..7..0..7....7..2..0..0..7....7..6..1..4..5

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 04 2014

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Last modified April 24 19:52 EDT 2024. Contains 371963 sequences. (Running on oeis4.)