cp's OEIS Frontend

A208036 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically.

%I A208036 #7 Jul 22 2025 21:07:46
%S A208036 15,225,1071,4743,21147,94605,422477,1889665,8446555,37743827,
%T A208036 168707957,754104989,3370554663,15065028565,67335513723,300967334945,
%U A208036 1345219047425,6012654700245,26874474326751,120119580310457,536892707323419
%N A208036 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically.
%C A208036 Column 5 of A208039
%H A208036 R. H. Hardin, <a href="/A208036/b208036.txt">Table of n, a(n) for n = 1..210</a>
%F A208036 Empirical: a(n) = a(n-1) +4*a(n-2) +33*a(n-3) +62*a(n-4) +114*a(n-5) -28*a(n-6) -241*a(n-7) -432*a(n-8) +51*a(n-9) +421*a(n-10) +289*a(n-11) -471*a(n-12) -277*a(n-13) -13*a(n-14) +275*a(n-15) +54*a(n-16) +40*a(n-17) -101*a(n-18) +18*a(n-19) -19*a(n-20) +15*a(n-21) -3*a(n-22) +2*a(n-23) -a(n-24) for n>25
%e A208036 Some solutions for n=4
%e A208036 ..1..0..1..1..1....1..1..0..1..1....0..1..1..0..1....0..0..1..1..1
%e A208036 ..1..0..1..1..0....1..0..1..1..0....1..1..1..0..0....0..1..1..0..1
%e A208036 ..0..1..1..0..0....1..0..1..1..0....0..1..1..1..0....1..1..0..0..1
%e A208036 ..0..1..1..0..1....1..1..1..1..1....0..0..1..1..1....1..0..0..1..1
%K A208036 nonn
%O A208036 1,1
%A A208036 _R. H. Hardin_ Feb 22 2012