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A252277 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7 1

%I #4 Dec 16 2014 08:33:24

%S 1260,7922,37160,85808,518498,2489352,5767680,34496526,165959340,

%T 384876232,2298587370,11061103280,25655550076,153191338398,

%U 737201742464,1709930351560,10209850851410,49133026339596,113963788270572

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

%C Column 7 of A252278

%H R. H. Hardin, <a href="/A252277/b252277.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 86*a(n-3) -1415*a(n-6) +8680*a(n-9) -22666*a(n-12) +28036*a(n-15) -15888*a(n-18) +3168*a(n-21) for n>27

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2014

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Last modified September 5 13:20 EDT 2024. Contains 375696 sequences. (Running on oeis4.)