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A003607 Location of 0's when natural numbers are listed in binary.
(Formerly M2612)
5
0, 3, 7, 8, 10, 14, 19, 20, 21, 23, 24, 27, 29, 31, 36, 37, 40, 45, 51, 52, 53, 54, 56, 57, 58, 61, 62, 64, 66, 67, 71, 73, 74, 76, 78, 81, 84, 86, 92, 93, 94, 97, 98, 102, 104, 107, 113 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
A030190(a(n)) = 0. [Reinhard Zumkeller, Dec 11 2011]
REFERENCES
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
MATHEMATICA
Position[IntegerDigits[Range[0, 100], 2] // Flatten, 0] - 1 // Flatten (* Jean-François Alcover, Oct 06 2016 *)
PROG
(Haskell)
import Data.List (elemIndices)
a003607 n = a003607_list !! n
a003607_list = elemIndices 0 a030190_list
-- Reinhard Zumkeller, Dec 11 2011
(Python)
from itertools import count, islice
def A003607_gen(): # generator of terms
return (i for i, s in enumerate(d for n in count(0) for d in bin(n)[2:]) if s == '0')
A003607_list = list(islice(A003607_gen(), 30)) # Chai Wah Wu, Feb 18 2022
CROSSREFS
Sequence in context: A089970 A019270 A047357 * A087859 A300082 A050010
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)