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Number of (n+2)X(3+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime
1

%I #4 Dec 10 2014 10:01:23

%S 20025,36085,94046,237142,848547,2892699,8113568,29479780,102515893,

%T 303454217,1103232945,3874324883,11951362082,43336404358,152949477561,

%U 486387698163,1758213474430,6216858050103,20208620436696,72836307733722

%N Number of (n+2)X(3+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

%C Column 3 of A251885

%H R. H. Hardin, <a href="/A251880/b251880.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..2..1..2..0....0..3..4..0..1....0..4..3..0..4....1..1..3..3..1

%e ..2..0..3..0..4....3..1..3..3..1....4..0..3..4..0....2..1..0..4..1

%e ..3..3..1..3..3....4..3..0..4..3....3..1..1..1..3....0..3..4..0..3

%e ..2..0..3..0..4....0..3..4..0..1....4..4..3..0..4....1..1..3..1..1

%e ..0..4..3..4..0....3..1..1..1..1....4..0..3..2..0....1..1..0..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2014