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!)
A055247 Related to A055246 and A005836. Used for boundaries of open intervals which have to be erased in the Cantor middle third set construction. 3

%I #5 Mar 31 2012 13:20:01

%S 1,2,7,8,19,20,25,26,55,56,61,62,73,74,79,80,163,164,169,170,181,182,

%T 187,188,217,218,223,224,235,236,241,242,487,488,493,494,505,506,511,

%U 512,541,542,547,548,559,560,565,566,649,650,655,656

%N Related to A055246 and A005836. Used for boundaries of open intervals which have to be erased in the Cantor middle third set construction.

%C At step number k >= 1 the 2^(k-1) open intervals which are erased from [0,1] in the Cantor middle third set construction are: I(k,n)=(a(2*n-1)/3^k,a(2*n)/3^k), n=1,.,2^(k-1).

%F a(n)= A055246((n+1)/2) if n odd, a(n)= A055246(n/2)+1 if n even. A055246(n)= 1+6*A005836(n-1), n >= 1.

%F a(1) = 1, a(n) = 3^ceiling( log_2( n ) ) - a( 2^ceiling( log_2( n ) ) + 1 - n ). - Juan Jose Alba Gonzalez (jjalba(AT)gmail.com), May 16 2006

%e k=1: (1/3, 2/3); k=2: (1/9, 2/9), (7/9, 8/9); k=3: (1/27, 2/27), (7/27, 8/27), (19/27, 20/27), (25/27, 26/27); ...

%Y Cf. A005836, A055246.

%K nonn,easy

%O 1,2

%A _Wolfdieter Lang_, May 23 2000

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 17 03:33 EDT 2024. Contains 372577 sequences. (Running on oeis4.)