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A189199 Number of 6Xn binary arrays without the pattern 0 0 1 vertically or antidiagonally 1

%I #5 Mar 31 2012 12:36:15

%S 33,1089,27170,657028,15564047,367115337,8646366042,203562575017,

%T 4791913469442,112799071668131,2655202148877722,62501206566986486,

%U 1471224094156225703,34631328118629702199,815191106000869861143

%N Number of 6Xn binary arrays without the pattern 0 0 1 vertically or antidiagonally

%C Row 6 of A189196

%H R. H. Hardin, <a href="/A189199/b189199.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 33*a(n-1) -206*a(n-2) -738*a(n-3) +8753*a(n-4) -13693*a(n-5) -33068*a(n-6) +87427*a(n-7) -52757*a(n-8) +67082*a(n-9) -70312*a(n-10) -61118*a(n-11) +47608*a(n-12) -908*a(n-13) -1404*a(n-14) +568*a(n-15) -192*a(n-16)

%e Some solutions for 6X3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 18 2011

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)