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A207883 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically 1

%I #5 Mar 31 2012 12:37:20

%S 19,361,1095,3106,10207,33631,119278,430317,1618497,6185552,24218961,

%T 95923447,385262430,1559000011,6359706157,26067392066,107355218191,

%U 443485735669,1837400471598,7628072692243,31728400910931,132160666103750

%N Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically

%C Column 6 of A207885

%H R. H. Hardin, <a href="/A207883/b207883.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -49*a(n-2) -321*a(n-3) +2264*a(n-4) +629*a(n-5) -34535*a(n-6) +45426*a(n-7) +272671*a(n-8) -644045*a(n-9) -1212652*a(n-10) +4445677*a(n-11) +2724392*a(n-12) -18859001*a(n-13) +42422*a(n-14) +52859050*a(n-15) -19114180*a(n-16) -100657622*a(n-17) +59907140*a(n-18) +131073520*a(n-19) -99525328*a(n-20) -115653968*a(n-21) +102345632*a(n-22) +67340656*a(n-23) -67025952*a(n-24) -24498368*a(n-25) +27442176*a(n-26) +4950784*a(n-27) -6594048*a(n-28) -394240*a(n-29) +802816*a(n-30) -8192*a(n-31) -32768*a(n-32) for n>33

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 21 2012

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Last modified April 19 16:21 EDT 2024. Contains 371794 sequences. (Running on oeis4.)