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A208167 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

%I A208167 #7 Jul 22 2025 21:13:08
%S A208167 21,441,2491,13825,63031,297702,1474641,7151473,34264481,166182659,
%T A208167 805621207,3890807396,18817025188,91075073881,440491413435,
%U A208167 2130434106639,10306317416695,49854704983253,241148925982311,1166495712482115
%N A208167 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 0 vertically.
%C A208167 Row 6 of A208164
%H A208167 R. H. Hardin, <a href="/A208167/b208167.txt">Table of n, a(n) for n = 1..210</a>
%F A208167 Empirical: a(n) = a(n-1) -2*a(n-2) +68*a(n-3) +111*a(n-4) +393*a(n-5) -292*a(n-6) -1808*a(n-7) -6205*a(n-8) -5532*a(n-9) +9638*a(n-10) +53642*a(n-11) +75907*a(n-12) -7735*a(n-13) -306049*a(n-14) -523915*a(n-15) -131849*a(n-16) +1315396*a(n-17) +2368496*a(n-18) +644618*a(n-19) -4568483*a(n-20) -7417114*a(n-21) -903829*a(n-22) +12984601*a(n-23) +15191226*a(n-24) -3392425*a(n-25) -25200205*a(n-26) -17300095*a(n-27) +12005481*a(n-28) +29910075*a(n-29) +10672299*a(n-30) -15661203*a(n-31) -23604352*a(n-32) -2120324*a(n-33) +11633562*a(n-34) +13389658*a(n-35) -2926667*a(n-36) -5035127*a(n-37) -6200268*a(n-38) +4420788*a(n-39) +567939*a(n-40) +2831217*a(n-41) -3875590*a(n-42) +1117557*a(n-43) -1500290*a(n-44) +2569930*a(n-45) -1156343*a(n-46) +798177*a(n-47) -1293280*a(n-48) +628619*a(n-49) -321797*a(n-50) +468935*a(n-51) -208502*a(n-52) +85437*a(n-53) -116047*a(n-54) +42096*a(n-55) -13982*a(n-56) +18375*a(n-57) -4980*a(n-58) +1241*a(n-59) -1657*a(n-60) +344*a(n-61) +89*a(n-63) for n>65
%e A208167 Some solutions for n=4
%e A208167 ..0..0..1..1....1..1..1..1....0..1..0..0....0..1..1..0....1..0..0..1
%e A208167 ..0..0..1..0....1..1..1..1....0..1..0..0....1..1..0..0....0..0..1..0
%e A208167 ..0..0..1..0....1..1..0..0....0..1..0..0....1..1..1..0....0..0..1..0
%e A208167 ..0..0..1..0....0..1..1..1....0..1..0..0....1..1..1..0....0..0..1..0
%e A208167 ..0..0..1..0....1..1..1..1....0..1..0..0....0..0..1..0....0..0..1..0
%e A208167 ..0..0..1..0....1..1..0..0....0..1..0..0....0..1..1..0....0..0..1..0
%K A208167 nonn
%O A208167 1,1
%A A208167 _R. H. Hardin_ Feb 24 2012