UO-Sigma PN

[y.kohmoto]

    Neil wrote :
    >but as a sequence A000002 is very boring!
    >maybe it should be a comment on the first sequence

    Yes, it seems to be correct, if one see the first 50 terms.
    The fact that no sequence which changes slowly exists on OEIS is an
problem

    Then, the following sequence is not fit for OEIS.
    a(n) : 8193, 8195, 8197, 8199, 8201, 8203, 8205, 8207, 8209, 8211, 8213,
8215, 8217, 8219, 8221, 8223, 8225, ....

    a(1)=8191, a(n)=[2.00014*a(n-1)+3]/2^r, where 2^r is the highest power
of p dividing [2.00014*a(n-1)+3].

    It seems to be boring, because this sequence looks like a liner sequence
that a(n)=a(n-1)+2 .
    But it is not boring.   The  sequence changes  its   behavior at 3046-th
term,  it becomes a random sequence after the term.

    Yasutoshi