cp's OEIS Frontend

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

%I A189199 #7 Jul 22 2025 11:37:13
%S A189199 33,1089,27170,657028,15564047,367115337,8646366042,203562575017,
%T A189199 4791913469442,112799071668131,2655202148877722,62501206566986486,
%U A189199 1471224094156225703,34631328118629702199,815191106000869861143
%N A189199 Number of 6Xn binary arrays without the pattern 0 0 1 vertically or antidiagonally.
%C A189199 Row 6 of A189196
%H A189199 R. H. Hardin, <a href="/A189199/b189199.txt">Table of n, a(n) for n = 1..200</a>
%F A189199 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 A189199 Some solutions for 6X3
%e A189199 ..1..1..1....1..1..1....0..0..1....1..1..1....1..0..0....1..1..1....1..0..1
%e A189199 ..0..1..0....0..1..0....1..1..1....0..0..0....0..1..1....0..0..1....0..1..0
%e A189199 ..1..1..1....1..1..0....1..1..0....0..1..1....1..0..1....1..1..0....1..1..0
%e A189199 ..1..1..0....1..0..0....1..1..0....0..1..1....1..1..0....0..0..1....1..1..0
%e A189199 ..1..0..1....0..1..0....0..1..0....0..1..1....0..1..1....0..1..1....0..1..0
%e A189199 ..0..0..0....1..1..0....1..1..0....0..0..0....0..1..1....0..0..0....1..0..0
%K A189199 nonn
%O A189199 1,1
%A A189199 _R. H. Hardin_ Apr 18 2011