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A207602 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically 1

%I #5 Mar 31 2012 12:37:18

%S 10,100,270,729,3915,21025,75400,270400,1223560,5536609,21791133,

%T 85766121,366828210,1568952100,6380972950,25951599025,108806945995,

%U 456193527241,1877616346320,7727955206400,32166490458960,133888341846169

%N Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically

%C Row 5 of A207599

%H R. H. Hardin, <a href="/A207602/b207602.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) -4*a(n-2) +21*a(n-3) +149*a(n-4) +124*a(n-5) +680*a(n-6) -2720*a(n-8) -1984*a(n-9) -9536*a(n-10) -5376*a(n-11) +4096*a(n-12) -4096*a(n-13) +16384*a(n-14)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified August 10 19:25 EDT 2024. Contains 375058 sequences. (Running on oeis4.)