login
Number of (n+2)X(7+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime.
1

%I #6 Jul 23 2025 13:29:34

%S 6066,24411,213857,1741500,14105237,115183429,937980816,7634089673,

%T 62282795883,507708323914,4135550418801,33696297343365,

%U 274629581667564,2238121992115381,18238035152919884,148617809035822028

%N Number of (n+2)X(7+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime.

%C Column 7 of A251819

%H R. H. Hardin, <a href="/A251818/b251818.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014