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A152723 In binary, count of least frequent bit of n. 2
0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 3, 2, 3, 3, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

Express n in binary, then a(n) is the smaller of the number of 0s and the number of 1s;

a(n) = min( A000120(n), A023416(n));

a(n) + A152724(n) = 1+floor(log[2](n)).

a(n) = A070939(n) - A152724(n). - Reinhard Zumkeller, Mar 31 2015

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for sequences related to binary expansion of n

EXAMPLE

n = 35 is the smallest number for which a(n) = 3, since 35 in binary is 100011, which is the smallest binary number with 3 0s and 3 1s.~

MATHEMATICA

Table[Min[DigitCount[n, 2, 1], DigitCount[n, 2, 0]], {n, 70}] (* Harvey P. Dale, May 09 2012 *)

PROG

(Haskell)

a152723 n = min (a000120 n) (a023416 n)

-- Reinhard Zumkeller, Mar 31 2015

CROSSREFS

Cf. A000120, A023416, A070939, A152724.

Sequence in context: A085906 A221649 A090406 * A237497 A281191 A324496

Adjacent sequences:  A152720 A152721 A152722 * A152724 A152725 A152726

KEYWORD

base,easy,nonn

AUTHOR

Frank Ruskey, Dec 11 2008

STATUS

approved

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Last modified August 25 13:50 EDT 2019. Contains 326324 sequences. (Running on oeis4.)