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A056062
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Run lengths in infinite binary Champernowne string (A030190) formed by concatenation of 0, 1, 2 ... in base 2.
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5
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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)
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OFFSET
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0,2
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
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EXAMPLE
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The string starts with 011011100101110111... (concatenation of 0, 1, 10, 11, 100, 101, 110, 111, ...) so initial runs are 1, 2, 1, 3, ...
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MATHEMATICA
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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 *)
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PROG
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(Haskell)
import Data.List (group)
a056062 n = a056062_list !! n
a056062_list = map length $ group a030190_list
-- Reinhard Zumkeller, Mar 26 2013
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CROSSREFS
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Cf. A030190, A003607, A030306, A318924.
Sequence in context: A322027 A088192 A218459 * A230517 A165003 A165011
Adjacent sequences: A056059 A056060 A056061 * A056063 A056064 A056065
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KEYWORD
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easy,nonn,nice,base
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AUTHOR
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Helge Robitzsch (hrobi(AT)math.uni-goettingen.de), Jul 27 2000
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EXTENSIONS
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Edited by Charles R Greathouse IV, Apr 26 2010
Data corrected for n > 44 by Reinhard Zumkeller, Mar 26 2013
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STATUS
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approved
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