A252364 - OEIS

%I #4 Dec 17 2014 08:09:05

%S 282,834,3054,10450,36078,124538,427362,1470006,5070814,17463766,

%T 60088290,206866218,712422522,2453110742,8445738678,29078502866,

%U 100122283738,344737651282,1186962351454,4086804396094,14071307248710

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

%C Column 3 of A252369

%H R. H. Hardin, <a href="/A252364/b252364.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>17

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014