A252209 - OEIS

A252209

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7

%I #4 Dec 15 2014 08:27:31

%S 278710,2568954,65275092,301990806,10519316686,267361717782,

%T 1236950586236,43087111929354,1095113581291852,5066549580829014,

%U 176484810397704526,4485585228861223254,20752587082923540860

%N Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7

%C Column 7 of A252210

%H R. H. Hardin, <a href="/A252209/b252209.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4104*a(n-3) -32767*a(n-6) -4104*a(n-9) +32768*a(n-12) for n>15

%e Some solutions for n=1

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014