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 A183340 Number of nX8 binary arrays with each 1 adjacent to exactly one 1 vertically and one 1 horizontally 1

%I #5 Mar 31 2012 12:35:50

%S 1,19,63,193,1005,4133,16029,68662,286079,1170324,4869491,20218182,

%T 83588667,346493199,1436419555,5949727953,24653341080,102162618558,

%U 423291469427,1753914307948,7267558737304,30113168208503,124774750283399

%N Number of nX8 binary arrays with each 1 adjacent to exactly one 1 vertically and one 1 horizontally

%C Equivalent to all 1s connected only in 2X2 blocks

%C Column 8 of A183342

%H R. H. Hardin, <a href="/A183340/b183340.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+4*a(n-2)+33*a(n-3)+40*a(n-4)-27*a(n-5)-190*a(n-6)-384*a(n-7)+149*a(n-8)+768*a(n-9)+398*a(n-10)-281*a(n-11)+312*a(n-12)-879*a(n-13)-1871*a(n-14)+351*a(n-15)+2551*a(n-16)-928*a(n-17)+499*a(n-18)+267*a(n-19)-947*a(n-20)-295*a(n-21)-55*a(n-22)+284*a(n-23)+192*a(n-24)+136*a(n-25)+98*a(n-26)-86*a(n-27)+17*a(n-28)-4*a(n-29)-19*a(n-30)+3*a(n-31)-12*a(n-32)

%e Some solutions for 5X8

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 04 2011

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