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%I #4 Dec 02 2014 18:49:52
%S 46,168,168,602,738,602,1908,3142,3142,1908,5926,11134,15719,11134,
%T 5926,17424,38509,62309,62309,38509,17424,50306,120982,239572,268559,
%U 239572,120982,50306,141792,373380,809934,1125843,1125843,809934,373380,141792
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column
%C Table starts
%C ......46.....168......602......1908.......5926.......17424.......50306
%C .....168.....738.....3142.....11134......38509......120982......373380
%C .....602....3142....15719.....62309.....239572......809934.....2678350
%C ....1908...11134....62309....268559....1125843.....4053903....14306546
%C ....5926...38509...239572...1125843....5145888....19854533....75006354
%C ...17424..120982...809934...4053903...19854533....80967696...324243821
%C ...50306..373380..2678350..14306546...75006354...324243821..1378354755
%C ..141792.1094071..8222849..46070347..255126617..1156109395..5171467239
%C ..392326.3155436.24796090.145984578..853011914..4058563375.19112759465
%C .1077744.8863194.71644353.437418593.2668157253.13208174936.64992838581
%H R. H. Hardin, <a href="/A251467/b251467.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 11]
%F k=2: [order 36]
%F k=3: [order 61]
%F k=4: [order 77]
%e Some solutions for n=3 k=4
%e ..0..1..0..1..1....0..1..0..1..2....0..0..0..1..0....0..0..0..0..0
%e ..0..1..0..1..2....0..2..0..2..2....1..1..1..1..1....1..1..1..1..1
%e ..1..0..2..0..2....0..1..0..1..2....1..0..1..2..1....0..1..2..1..2
%e ..0..1..0..1..2....0..2..2..2..2....2..0..2..2..2....1..1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 02 2014
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