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A202401 Number of (n+2)X5 binary arrays avoiding patterns 000 and 010 in rows and columns 1

%I

%S 1785,14161,127449,1147041,9967797,86620249,761992011,6703188129,

%T 58683373353,513746331121,4506684244009,39533523929761,

%U 346498326472137,3036943796391729,26627628912968223,233468469969434001

%N Number of (n+2)X5 binary arrays avoiding patterns 000 and 010 in rows and columns

%C Column 3 of A202406

%H R. H. Hardin, <a href="/A202401/b202401.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +208*a(n-3) +1467*a(n-4) +2288*a(n-5) +14460*a(n-6) -16112*a(n-7) -196310*a(n-8) -317880*a(n-9) -1560180*a(n-10) -148160*a(n-11) +9028922*a(n-12) +11574832*a(n-13) +44010892*a(n-14) +25514176*a(n-15) -118192707*a(n-16) -125367844*a(n-17) -476668986*a(n-18) -408258080*a(n-19) +338030809*a(n-20) +130898016*a(n-21) +1622159640*a(n-22) +1327120096*a(n-23) -201491540*a(n-24) +689017136*a(n-25) -2191876440*a(n-26) -1193361984*a(n-27) -79496564*a(n-28) -1038995744*a(n-29) +1441609944*a(n-30) +221943360*a(n-31) +192721849*a(n-32) +361958076*a(n-33) -389955770*a(n-34) +31380176*a(n-35) -67061043*a(n-36) -29507152*a(n-37) +31669612*a(n-38) -4326000*a(n-39) +5412042*a(n-40) +760840*a(n-41) -914740*a(n-42) +135040*a(n-43) -147750*a(n-44) -4112*a(n-45) +8348*a(n-46) -1152*a(n-47) +1259*a(n-48) -28*a(n-49) -6*a(n-50) -a(n-52)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 19 2011

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Last modified June 29 15:47 EDT 2022. Contains 354913 sequences. (Running on oeis4.)