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A207396 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207396 #7 Jul 22 2025 20:22:16
%S A207396 14,196,826,3641,18972,82477,335915,1424240,5887228,23664574,95673277,
%T A207396 385982750,1544370231,6178516519,24726844456,98762900758,394298390750,
%U A207396 1574547834937,6285202997898,25083924670973,100115382776031
%N A207396 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207396 Row 7 of A207391
%H A207396 R. H. Hardin, <a href="/A207396/b207396.txt">Table of n, a(n) for n = 1..210</a>
%F A207396 Empirical: a(n) = 8*a(n-1) -25*a(n-2) +87*a(n-3) -344*a(n-4) +794*a(n-5) -1760*a(n-6) +5012*a(n-7) -9140*a(n-8) +15432*a(n-9) -36527*a(n-10) +54057*a(n-11) -74296*a(n-12) +159065*a(n-13) -190500*a(n-14) +223692*a(n-15) -455635*a(n-16) +426177*a(n-17) -452516*a(n-18) +887167*a(n-19) -598448*a(n-20) +627183*a(n-21) -1155951*a(n-22) +477387*a(n-23) -595363*a(n-24) +979858*a(n-25) -156812*a(n-26) +404429*a(n-27) -538940*a(n-28) -30128*a(n-29) -210752*a(n-30) +195269*a(n-31) +39309*a(n-32) +76259*a(n-33) -44043*a(n-34) -13520*a(n-35) -15052*a(n-36) +6012*a(n-37) +1836*a(n-38) +1440*a(n-39) -720*a(n-40)
%e A207396 Some solutions for n=4
%e A207396 ..0..0..0..0....0..1..1..1....1..0..1..1....1..0..0..0....1..0..1..1
%e A207396 ..0..1..1..1....1..1..1..0....0..1..1..0....0..0..0..0....1..0..0..0
%e A207396 ..0..1..1..0....0..1..1..0....1..0..1..1....1..0..0..0....1..0..1..1
%e A207396 ..0..1..1..1....0..1..1..0....0..1..1..0....0..0..0..0....1..0..1..1
%e A207396 ..0..1..1..1....0..1..1..0....1..0..1..1....1..0..0..0....1..0..1..1
%e A207396 ..0..1..1..1....0..1..1..0....0..1..1..0....0..0..0..0....1..0..1..1
%e A207396 ..0..1..1..1....0..1..1..0....1..1..1..0....1..0..0..0....1..0..1..1
%K A207396 nonn
%O A207396 1,1
%A A207396 _R. H. Hardin_ Feb 17 2012