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A143222 a(0)=0. For n >=1, a(n) = 0 if the binary representation of n occurs at least once in the concatenation of (a(0),a(1),...,a(n-1)). a(n) = 1 otherwise. +0
3
0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1 (list; graph; listen)
OFFSET

0,1

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

The binary representation of 20 is 10100. This occurs in the concatenation of terms a(0) through a(19) like so: 01(10100)1100100111100. So a(20) = 0.

MATHEMATICA

f[l_List]:=Append[l, Boole[StringPosition[ToString[FromDigits[l]], ToString[FromDigits[IntegerDigits[Length[l], 2]]]]=={}]]; Nest[f, {0}, 125] [From Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 09 2008]

CROSSREFS

Cf. A143220, A143221.

Sequence in context: A029691 A053866 A156595 this_sequence A010060 A118247 A122257

Adjacent sequences: A143219 A143220 A143221 this_sequence A143223 A143224 A143225

KEYWORD

base,nonn

AUTHOR

Leroy Quet, Jul 30 2008

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 09 2008

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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