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%I #4 Dec 02 2014 15:57:01
%S 46,238,238,1230,2164,1230,6370,19654,19654,6370,32954,179400,313396,
%T 179400,32954,170634,1634286,5037428,5037428,1634286,170634,883018,
%U 14919346,80717134,143030000,80717134,14919346,883018,4571514,136033976
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to a prime
%C Table starts
%C .....46.......238........1230..........6370...........32954............170634
%C ....238......2164.......19654........179400.........1634286..........14919346
%C ...1230.....19654......313396.......5037428........80717134........1297591952
%C ...6370....179400.....5037428.....143030000......4043668176......114835717382
%C ..32954...1634286....80717134....4043668176....201479453052....10095883183064
%C .170634..14919346..1297591952..114835717382..10095883183064...893724081215818
%C .883018.136033976.20821486740.3252989390702.504304720898814.78814651407482114
%H R. H. Hardin, <a href="/A251410/b251410.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: a(n) = 2*a(n-1) +21*a(n-2) -14*a(n-3) -52*a(n-4) +12*a(n-5)
%F k=2: [order 12]
%F k=3: [order 37]
%e Some solutions for n=2 k=4
%e ..1..0..0..0..1....1..0..1..0..0....0..2..0..0..2....1..0..2..0..0
%e ..0..2..1..2..2....1..1..0..2..1....0..0..1..1..2....0..1..2..1..2
%e ..1..2..0..0..1....1..0..1..0..0....0..2..0..0..2....0..1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 02 2014
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