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A056062 Run lengths in infinite binary Champernowne string (A030190) formed by concatenation of 0, 1, 2 ... in base 2. 5
1, 2, 1, 3, 2, 1, 1, 3, 1, 4, 3, 1, 2, 2, 1, 1, 1, 1, 1, 4, 2, 2, 1, 4, 1, 5, 4, 1, 3, 2, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 5, 3, 2, 2, 3, 1, 1, 1, 2, 1, 5, 2, 3, 1, 5, 1, 6, 5, 1, 4, 2, 3, 1, 1, 1, 3, 3, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 4, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

EXAMPLE

The string starts with 011011100101110111... (concatenation of 0, 1, 10, 11, 100, 101, 110, 111, ...) so initial runs are 1, 2, 1, 3, ...

MATHEMATICA

Length /@ (Split@(Join @@ Table[ IntegerDigits[i, 2], {i, 0, 100}]))  (*  Olivier Gérard, Mar 27 2011 *)

Length/@Split[Flatten[IntegerDigits[Range[0, 50], 2]]] (* Harvey P. Dale, May 24 2015 *)

PROG

(Haskell)

import Data.List (group)

a056062 n = a056062_list !! n

a056062_list = map length $ group a030190_list

-- Reinhard Zumkeller, Mar 26 2013

CROSSREFS

Cf. A030190, A003607, A030306, A318924.

Sequence in context: A322027 A088192 A218459 * A230517 A165003 A165011

Adjacent sequences:  A056059 A056060 A056061 * A056063 A056064 A056065

KEYWORD

easy,nonn,nice,base

AUTHOR

Helge Robitzsch (hrobi(AT)math.uni-goettingen.de), Jul 27 2000

EXTENSIONS

Edited by Charles R Greathouse IV, Apr 26 2010

Data corrected for n > 44 by Reinhard Zumkeller, Mar 26 2013

STATUS

approved

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Last modified February 21 19:02 EST 2020. Contains 332109 sequences. (Running on oeis4.)