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A207686 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically 1

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

%S 18,324,660,2032,4728,11994,29982,77141,193184,485658,1213580,3090430,

%T 7754424,19478100,49010084,123869662,311515934,782045058,1972950126,

%U 4972883946,12497401442,31449373036,79304725202,199577343966

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically

%C Row 6 of A207682

%H R. H. Hardin, <a href="/A207686/b207686.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-3) +25*a(n-4) +4*a(n-5) -98*a(n-6) -234*a(n-7) -159*a(n-8) +340*a(n-9) +928*a(n-10) +892*a(n-11) -875*a(n-12) -1506*a(n-13) -2035*a(n-14) +3226*a(n-15) -2346*a(n-16) +1152*a(n-17) -43*a(n-18) +16260*a(n-19) -19321*a(n-20) -39390*a(n-21) -10869*a(n-22) +83214*a(n-23) +110923*a(n-24) -32942*a(n-25) -118675*a(n-26) -208716*a(n-27) +112834*a(n-28) +157576*a(n-29) +235815*a(n-30) -383014*a(n-31) -129416*a(n-32) -167256*a(n-33) +702566*a(n-34) +41228*a(n-35) +292854*a(n-36) -833688*a(n-37) -67215*a(n-38) -378998*a(n-39) +539836*a(n-40) +97752*a(n-41) +263889*a(n-42) -84830*a(n-43) -1390*a(n-44) -99950*a(n-45) -12152*a(n-46) -107340*a(n-47) +13773*a(n-48) -76994*a(n-49) +69895*a(n-50) +34412*a(n-51) +98890*a(n-52) +21902*a(n-53) -42482*a(n-54) -69658*a(n-55) -40323*a(n-56) +13658*a(n-57) +27149*a(n-58) +14106*a(n-59) -1443*a(n-60) -7676*a(n-61) -2105*a(n-62) +14*a(n-63) +729*a(n-64) +220*a(n-65) -110*a(n-66) for n>72

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified April 18 10:01 EDT 2024. Contains 371779 sequences. (Running on oeis4.)