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%I #4 Dec 02 2014 18:31:59
%S 856,12998,194586,2922936,43856564,658509724,9883202426,148386240396,
%T 2227276408442,33438932548508,501946241968144,7535694109005072,
%U 113120767673812066,1698243768833532142,25493398752302618694
%N Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to a prime
%C Column 2 of A251459
%H R. H. Hardin, <a href="/A251453/b251453.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 15*a(n-1) +198*a(n-2) -3198*a(n-3) -7812*a(n-4) +184871*a(n-5) +31578*a(n-6) -4565501*a(n-7) +3558194*a(n-8) +55101117*a(n-9) -72502119*a(n-10) -332701010*a(n-11) +567941512*a(n-12) +935596488*a(n-13) -2005944144*a(n-14) -945330624*a(n-15) +3100461624*a(n-16) -208714144*a(n-17) -1639102944*a(n-18) +397924992*a(n-19) +157598784*a(n-20) -32192640*a(n-21) -3359232*a(n-22)
%e Some solutions for n=3
%e ..0..0..0....2..3..1....0..2..3....0..3..2....0..0..3....2..2..1....2..1..2
%e ..2..3..0....0..2..1....2..3..3....1..1..1....3..0..0....3..0..2....2..0..0
%e ..2..0..2....1..0..2....1..1..0....0..1..0....0..2..0....0..0..0....0..3..0
%e ..3..0..1....0..1..2....0..0..1....1..1..1....3..2..3....3..2..3....0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 02 2014
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