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A209654 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically 1

%I #5 Mar 31 2012 12:37:29

%S 14,196,966,3276,15386,61754,287140,1247736,5805450,26247900,

%T 122620446,566352486,2658874036,12435237724,58661967966,276563762860,

%U 1310299936722,6211941942146,29540255436804,140624053199280,670822454889090

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

%C Row 7 of A209650

%H R. H. Hardin, <a href="/A209654/b209654.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -17*a(n-2) -754*a(n-3) +2878*a(n-4) +16186*a(n-5) -93370*a(n-6) -189146*a(n-7) +1639426*a(n-8) +1204022*a(n-9) -18805282*a(n-10) -2292182*a(n-11) +152576908*a(n-12) -28963300*a(n-13) -912064552*a(n-14) +308639746*a(n-15) +4101425146*a(n-16) -1601886466*a(n-17) -13987156774*a(n-18) +5410333402*a(n-19) +36132409294*a(n-20) -12837363742*a(n-21) -70095351814*a(n-22) +22168488862*a(n-23) +100539442517*a(n-24) -28492814059*a(n-25) -104090698583*a(n-26) +27535964120*a(n-27) +74934038256*a(n-28) -19682095616*a(n-29) -35224075008*a(n-30) +9752617152*a(n-31) +9586454976*a(n-32) -2904906240*a(n-33) -1119744000*a(n-34) +373248000*a(n-35) for n>36

%e Some solutions for n=4

%e ..0..0..0..0....1..0..1..1....1..1..0..1....1..0..1..1....0..1..0..1

%e ..1..1..1..0....1..1..0..1....1..1..1..0....0..1..0..1....1..0..1..0

%e ..0..1..1..0....1..1..0..1....1..0..1..0....0..0..0..0....0..0..0..0

%e ..0..1..1..0....0..1..0..1....1..0..1..0....0..0..0..0....0..0..0..0

%e ..0..1..1..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 11 2012

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)