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A204049 Number of (n+2)X3 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order 1

%I #5 Mar 31 2012 12:37:00

%S 1379,10447,80391,622031,4823759,37451727,290942303,2260735279,

%T 17568741535,136538226767,1061153916031,8247213992175,64097090111007,

%U 498161733185935,3871710470155071,30090928730621231,233866710624036959

%N Number of (n+2)X3 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 1 of A204056

%H R. H. Hardin, <a href="/A204049/b204049.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) -31*a(n-2) +69*a(n-3) -176*a(n-4) -8*a(n-5) -116*a(n-6) -132*a(n-7) +240*a(n-8) +144*a(n-9)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2012

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Last modified March 28 08:12 EDT 2024. Contains 371236 sequences. (Running on oeis4.)