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A137161 Starting at Step=0 from the sequence 1, 0, 1, 0, 1, 0, etc. (A059841) at any Step=n, with n>=1, any numbers of the previous step is inserted in the sequence any (2*n-1) numbers. 2
1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

If the sequence is regarded as the binary representation of the number 0.1101011111110...... in decimal it is 0.843596927232253....

EXAMPLE

Step n=0: 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, etc.

Step n=1: 2*n-1=1 thus after any 1 number -> 1 number of Step=0 is inserted

1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, etc.

Step n=2: 2*n-1=3 thus after any 3 numbers -> 1 number of Step=1 is inserted

1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, etc.

Step n=3: 2*n-1=5 thus after any 5 numbers -> 1 number of Step=2 is inserted

1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, etc.

And so on.

CROSSREFS

Cf. A137162, A137163.

Sequence in context: A039982 A131372 A098457 * A077050 A128432 A195198

Adjacent sequences:  A137158 A137159 A137160 * A137162 A137163 A137164

KEYWORD

easy,nonn

AUTHOR

Paolo P. Lava & Giorgio Balzarotti (paoloplava(AT)gmail.com), Jan 25 2008, Mar 05 2008

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Last modified February 14 07:59 EST 2012. Contains 205604 sequences.