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Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7
1

%I #4 Dec 15 2014 07:30:50

%S 5300,6368,8945,14130,24956,37035,57284,99128,151616,245908,420808,

%T 657008,1113688,1927880,3098960,5528048,9700168,16202576,30747088,

%U 54771272,95341136,192162896,346971208,625763408,1322237008,2411214920

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

%C Column 5 of A252192

%H R. H. Hardin, <a href="/A252189/b252189.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-3) -70*a(n-6) +120*a(n-9) -64*a(n-12) for n>22

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014