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!)
A133231 Number of distinct numbers that are contained in the length n+1 prefix of the binary Champernowne word. 1

%I #10 May 18 2019 15:43:58

%S 1,2,3,5,7,9,12,15,20,25,30,35,40,45,50,57,64,71,81,91,101,114,127,

%T 140,153,166,180,194,208,224,240,256,272,289,306,323,340,357,376,397,

%U 418,439,461,483,505,527,552,577,602,627,656,685,714,743,776,809,842

%N Number of distinct numbers that are contained in the length n+1 prefix of the binary Champernowne word.

%H Rémy Sigrist, <a href="/A133231/b133231.txt">Table of n, a(n) for n = 0..10000</a>

%H Rémy Sigrist, <a href="/A133231/a133231.pl.txt">Perl program A133231</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%e Champernowne word = '01101110 01011....', see A030190:

%e a(5) = #{0, 1, 10, 11, 101, 110, 1011, 1101, 11011} = 9;

%e a(6) = a(5) + #{111, 10111, 110111} = 9 + 3 = 12;

%e a(7) = a(6) + #{1110, 101110, 1101110} = 12 + 3 = 15.

%o (Perl) See Links section.

%Y Cf. A030190, A055143.

%K nonn,base

%O 0,2

%A _Reinhard Zumkeller_, Jan 15 2008

%E More terms from _Rémy Sigrist_, May 18 2019

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 April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)