The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 24 01:38 EDT 2024. Contains 372768 sequences. (Running on oeis4.)