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A082410 a(1)=0. Thereafter, the sequence is constructed using the rule: for any k >= 0, if a(1), a(2), ..., a(2^k+1) are known, the next 2^k terms are given as follows: a(2^k+1+i) = 1 - a(2^k+1-i) for 1 <= i <= 2^k. 11
0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) is A014577 shifted right twice (the definition here is similar to one of the constructions for A034947). - N. J. A. Sloane, Jul 27 2012

Complement of characteristic function of A060833.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

For n >= 2, Sum_{k=1..n} a(k) = (n + A037834(n-1))/2.

a(1) = 0, a(4n+2) = 1, a(4n+4) = 0, a(2n+1) = a(n+1) for n >= 0. - A.H.M. Smeets, Jul 27 2018

EXAMPLE

3 first terms are 0,1,1; therefore, a(4) = a(3+1) = 1 - a(3-1) = 1 - a(2) = 0, a(5) = a(3+2) = 1 - a(3-2) = 1 - a(1) = 1 and the sequence begins 0, 1, 1, 0, 1, ...

CROSSREFS

The following are all essentially the same sequence: A014577, A014707, A014709, A014710, A034947, A038189, A082410. - N. J. A. Sloane, Jul 27 2012

Sequence in context: A286400 A288478 A225183 * A189479 A260394 A181932

Adjacent sequences:  A082407 A082408 A082409 * A082411 A082412 A082413

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Apr 24 2003

STATUS

approved

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Last modified January 18 13:55 EST 2019. Contains 319271 sequences. (Running on oeis4.)