0,1

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

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.

Cf. A137162, A137163.

Adjacent sequences: A137158 A137159 A137160 this_sequence A137162 A137163 A137164

Sequence in context: A039982 A131372 A098457 this_sequence A077050 A128432 A039966

easy,nonn

Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jan 25 2008, Mar 05 2008