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A252264 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7 1

%I

%S 258,822,3016,10302,35486,122506,420420,1446744,4990438,17183040,

%T 59122262,203560110,701041422,2413836036,8310468310,28613117804,

%U 98520290558,339220390780,1167963347912,4021394031518,13846106821008

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

%C Column 3 of A252269

%H R. H. Hardin, <a href="/A252264/b252264.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 ..1..0..0..0..1....2..3..3..3..3....0..1..0..0..0....0..0..0..0..0

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014

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Last modified May 20 06:18 EDT 2022. Contains 353852 sequences. (Running on oeis4.)