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Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column
1

%I #4 Dec 02 2014 19:13:18

%S 586,3904,24182,123739,609565,2696488,11697274,47575204,191527226,

%T 740673411,2848714884,10679966309,39919058437,146791696499,

%U 538812135978,1957471091980,7102211736792,25606426267704,92214319488546

%N Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column

%C Column 2 of A251481

%H R. H. Hardin, <a href="/A251476/b251476.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A251476/a251476.txt">Empirical recurrence of order 61</a>

%F Empirical recurrence of order 61 (see link above)

%e Some solutions for n=4

%e ..1..0..2....1..0..1....0..1..3....2..1..3....1..0..2....2..0..2....0..0..1

%e ..1..1..0....2..0..2....1..0..1....2..0..1....0..1..2....0..0..0....2..0..2

%e ..1..0..2....0..3..0....1..3..1....2..3..3....0..1..1....1..1..1....0..0..3

%e ..0..2..1....1..3..1....1..0..3....2..0..1....1..3..2....3..0..3....1..2..2

%e ..0..1..3....1..2..1....3..1..3....2..3..3....0..1..1....3..1..3....1..3..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2014