A252216 - OEIS

%I #4 Dec 15 2014 09:53:20

%S 5011,6674,35674,188866,984604,5218112,27565870,145417326,769096658,

%T 4065302226,21466258470,113390920642,599189709130,3165902491146,

%U 16725123385874,88359158741876,466828724130952,2466405305351084

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

%C Column 5 of A252219

%H R. H. Hardin, <a href="/A252216/b252216.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +43*a(n-3) +222*a(n-4) +482*a(n-5) +681*a(n-6) -1029*a(n-7) -6287*a(n-8) -8465*a(n-9) -1385*a(n-10) +20916*a(n-11) +46692*a(n-12) +15066*a(n-13) -66599*a(n-14) -101537*a(n-15) -23823*a(n-16) +122361*a(n-17) +169438*a(n-18) +64400*a(n-19) -97706*a(n-20) -193601*a(n-21) -163645*a(n-22) -11117*a(n-23) +89565*a(n-24) +111435*a(n-25) +63076*a(n-26) -37544*a(n-27) -1865*a(n-28) -32113*a(n-29) +27664*a(n-30) +17688*a(n-31) -7392*a(n-32) +18202*a(n-33) -26599*a(n-34) +19810*a(n-35) -13865*a(n-36) +11432*a(n-37) -6215*a(n-38) +2983*a(n-39) -2054*a(n-40) +805*a(n-41) -244*a(n-42) +151*a(n-43) -24*a(n-44) -11*a(n-45) +5*a(n-46) for n>48

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014