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A252155 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7 1

%I #4 Dec 14 2014 16:50:50

%S 8309,8769,17803,29825,57271,112547,223442,447713,891380,1776728,

%T 3561844,7105520,14181200,28426208,56753264,113330576,227147536,

%U 453675152,906181712,1816146128,3628012880,7247618768,14525051344,29018570960

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

%C Column 6 of A252157

%H R. H. Hardin, <a href="/A252155/b252155.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +14*a(n-3) -14*a(n-4) -56*a(n-6) +56*a(n-7) +64*a(n-9) -64*a(n-10) for n>15

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)