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A207563 Number of nX7 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.

%I A207563 #7 Jul 22 2025 20:35:17
%S A207563 31,961,4719,16812,106833,493471,3275898,17232331,114004725,647020166,
%T A207563 4243514607,25257749917,164582667340,1010000577881,6556696152743,
%U A207563 41041784984580,265986401901157,1686689372009279,10927292093193426
%N A207563 Number of nX7 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 1 and 1 1 0 vertically.
%C A207563 Column 7 of A207564
%H A207563 R. H. Hardin, <a href="/A207563/b207563.txt">Table of n, a(n) for n = 1..210</a>
%F A207563 Empirical: a(n) = 15*a(n-1) +77*a(n-2) -2046*a(n-3) -429*a(n-4) +128837*a(n-5) -179947*a(n-6) -5002742*a(n-7) +10715924*a(n-8) +134822996*a(n-9) -338437234*a(n-10) -2687118622*a(n-11) +7153313284*a(n-12) +41146741810*a(n-13) -109928061876*a(n-14) -495743990582*a(n-15) +1281266267798*a(n-16) +4769695136712*a(n-17) -11615524444272*a(n-18) -36971607384056*a(n-19) +83242108862650*a(n-20) +231971832217622*a(n-21) -476657723689140*a(n-22) -1180217986743574*a(n-23) +2196013630719333*a(n-24) +4866835465582423*a(n-25) -8172102704389697*a(n-26) -16227516943169348*a(n-27) +24594308969516143*a(n-28) +43563976143481107*a(n-29) -59768169359482685*a(n-30) -93570219609964538*a(n-31) +116743033427890578*a(n-32) +159413368148539118*a(n-33) -181770451410051698*a(n-34) -212969039687871148*a(n-35) +222750020950558944*a(n-36) +219831253212876016*a(n-37) -210942550899039672*a(n-38) -172065591066644864*a(n-39) +150479223605638368*a(n-40) +99752372852080576*a(n-41) -78048773506516656*a(n-42) -41589102799746720*a(n-43) +27987000640420608*a(n-44) +11997001677156768*a(n-45) -6427472710615200*a(n-46) -2258184690293760*a(n-47) +827419962124800*a(n-48) +247397856768000*a(n-49) -43647621120000*a(n-50) -11645337600000*a(n-51) for n>52
%e A207563 Some solutions for n=4
%e A207563 ..0..0..0..0..0..0..0....1..1..1..1..1..1..1....0..1..1..0..1..1..0
%e A207563 ..1..1..1..1..0..0..0....0..0..0..0..0..0..0....1..1..1..0..0..0..0
%e A207563 ..0..0..0..0..0..0..0....1..0..0..0..0..0..0....0..1..1..0..0..0..0
%e A207563 ..1..0..1..1..1..1..0....0..1..1..1..0..0..0....1..1..1..0..0..0..0
%K A207563 nonn
%O A207563 1,1
%A A207563 _R. H. Hardin_ Feb 18 2012