A251813 - OEIS

%I #4 Dec 09 2014 11:24:46

%S 500,538,771,1511,3501,9040,24411,66516,182350,501847,1381865,3805521,

%T 10483208,28880671,79563282,219191950,603867313,1663633281,4583249193,

%U 12626700608,34786146677,95834675528,264021359180,727370137909

%N Number of (n+2)X(2+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

%C Column 2 of A251819

%H R. H. Hardin, <a href="/A251813/b251813.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +9*a(n-3) +2*a(n-4) -5*a(n-5) -23*a(n-6) -14*a(n-7) +2*a(n-8) +25*a(n-9) +20*a(n-10) +4*a(n-11) -12*a(n-12) -11*a(n-13) -4*a(n-14) +2*a(n-15) +2*a(n-16) +a(n-17) for n>25

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014