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A207349 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.

%I A207349 #7 Jul 22 2025 20:19:06
%S A207349 16,256,912,3130,9668,27022,71344,185624,468864,1161400,2852224,
%T A207349 6916298,16671332,39941518,95248116,226432852,536715552,1269630570,
%U A207349 2998466126,7071955846,16663461012,39231375166,92308270414,217088644132
%N A207349 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically.
%C A207349 Row 5 of A207346
%H A207349 R. H. Hardin, <a href="/A207349/b207349.txt">Table of n, a(n) for n = 1..210</a>
%F A207349 Empirical: a(n) = a(n-1) +12*a(n-2) +4*a(n-3) -75*a(n-4) -97*a(n-5) +205*a(n-6) +555*a(n-7) -14*a(n-8) -1409*a(n-9) -1451*a(n-10) +1221*a(n-11) +3928*a(n-12) +2021*a(n-13) -4180*a(n-14) -7443*a(n-15) -136*a(n-16) +10578*a(n-17) +8876*a(n-18) -9381*a(n-19) -17267*a(n-20) -47*a(n-21) +26796*a(n-22) +17618*a(n-23) -19686*a(n-24) -52655*a(n-25) -22921*a(n-26) +32001*a(n-27) +77172*a(n-28) +42796*a(n-29) -4315*a(n-30) -59068*a(n-31) -45371*a(n-32) -44803*a(n-33) -1115*a(n-34) -2056*a(n-35) +45799*a(n-36) +27605*a(n-37) +49741*a(n-38) -6727*a(n-39) +9559*a(n-40) -36146*a(n-41) +938*a(n-42) -43008*a(n-43) +1665*a(n-44) -28535*a(n-45) +30007*a(n-46) -6052*a(n-47) +33073*a(n-48) -10480*a(n-49) +25569*a(n-50) -12393*a(n-51) +12011*a(n-52) -22288*a(n-53) -389*a(n-54) -15172*a(n-55) +6379*a(n-56) -891*a(n-57) +8129*a(n-58) +1046*a(n-59) +3202*a(n-60) -667*a(n-61) -92*a(n-62) -1830*a(n-63) -1077*a(n-64) -1243*a(n-65) +118*a(n-66) +192*a(n-67) +879*a(n-68) +258*a(n-69) +280*a(n-70) -247*a(n-71) -87*a(n-72) -179*a(n-73) +17*a(n-74) -4*a(n-75) +44*a(n-76) +6*a(n-77) +7*a(n-78) -4*a(n-79) -a(n-80) -a(n-81) for n>83
%e A207349 Some solutions for n=4
%e A207349 ..0..0..1..0....1..1..0..1....0..1..0..0....1..0..0..1....1..0..1..0
%e A207349 ..1..0..0..1....1..0..1..0....0..1..0..1....0..0..1..0....1..1..0..0
%e A207349 ..0..1..0..1....0..0..1..0....1..0..1..0....0..1..0..0....0..1..0..1
%e A207349 ..1..0..1..0....1..1..0..1....1..0..0..1....1..1..0..1....1..0..1..0
%e A207349 ..1..0..0..1....1..0..1..0....0..1..0..1....1..0..1..0....0..1..0..1
%K A207349 nonn
%O A207349 1,1
%A A207349 _R. H. Hardin_ Feb 17 2012