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 A207707 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically 1

%I

%S 12,144,636,2809,17225,105625,571350,3090564,17518470,99301225,

%T 552967815,3079251081,17262695190,96776988100,541164386750,

%U 3026121180625,16938024328125,94806734765625,530464911052500,2968069964160016

%N Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically

%C Row 6 of A207703

%H R. H. Hardin, <a href="/A207707/b207707.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +34*a(n-3) +161*a(n-4) -304*a(n-5) -204*a(n-6) -1251*a(n-7) -5160*a(n-8) +6981*a(n-9) +6282*a(n-10) +13350*a(n-11) +58402*a(n-12) -65494*a(n-13) -61813*a(n-14) -51552*a(n-15) -279939*a(n-16) +272064*a(n-17) +231886*a(n-18) +79582*a(n-19) +630877*a(n-20) -535169*a(n-21) -359358*a(n-22) -63604*a(n-23) -717591*a(n-24) +534618*a(n-25) +255654*a(n-26) +34999*a(n-27) +423821*a(n-28) -280955*a(n-29) -93514*a(n-30) -10508*a(n-31) -135019*a(n-32) +81624*a(n-33) +18556*a(n-34) +1525*a(n-35) +23768*a(n-36) -13393*a(n-37) -1976*a(n-38) -96*a(n-39) -2276*a(n-40) +1216*a(n-41) +103*a(n-42) +2*a(n-43) +109*a(n-44) -56*a(n-45) -2*a(n-46) -2*a(n-48) +a(n-49)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 19 2012

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Last modified November 27 20:49 EST 2021. Contains 349395 sequences. (Running on oeis4.)