A252136 - OEIS

%I #4 Dec 14 2014 12:43:54

%S 909,3163,18047,96481,503968,2670175,14105069,74389231,393421141,

%T 2079994010,10983498797,58012068835,306545373194,1619740160696,

%U 8557028037752,45206323422086,238837210760037,1261858577287734

%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 3 4 6 or 7

%C Column 5 of A252139

%H R. H. Hardin, <a href="/A252136/b252136.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) +39*a(n-3) +181*a(n-4) +262*a(n-5) +238*a(n-6) -1529*a(n-7) -4996*a(n-8) -1940*a(n-9) +5551*a(n-10) +17305*a(n-11) +23836*a(n-12) -26075*a(n-13) -64360*a(n-14) -11102*a(n-15) +51639*a(n-16) +81824*a(n-17) +35975*a(n-18) -53399*a(n-19) -80282*a(n-20) -59920*a(n-21) -23443*a(n-22) +72246*a(n-23) +40762*a(n-24) -1573*a(n-25) +23887*a(n-26) -59858*a(n-27) +34106*a(n-28) -6361*a(n-29) -81*a(n-30) +24130*a(n-31) -31441*a(n-32) +25513*a(n-33) -20671*a(n-34) +14968*a(n-35) -8162*a(n-36) +4626*a(n-37) -2679*a(n-38) +1036*a(n-39) -411*a(n-40) +180*a(n-41) -13*a(n-42) -16*a(n-43) +5*a(n-44) for n>46

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014