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A251874 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7 1

%I #4 Dec 10 2014 09:18:32

%S 18400,41816,31296,46464,151704,309144,506656,1847872,4274816,7487600,

%T 26505656,67284984,123248320,462330456,1240757144,2319782976,

%U 8747007608,24156027576,45628433856,175122465816,489988794200,928931023680

%N Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7

%C Column 6 of A251876

%H R. H. Hardin, <a href="/A251874/b251874.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 34*a(n-3) -193*a(n-6) -2720*a(n-9) +20816*a(n-12) +34816*a(n-15) -279552*a(n-18) for n>28

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2014

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Last modified April 24 10:49 EDT 2024. Contains 371935 sequences. (Running on oeis4.)