A122790 Decimal expansion of Wagon's constant: the average "dropping time" of the Collatz (3x+1) iteration.

9, 4, 7, 7, 9, 5, 5, 5, 5, 6, 5, 5, 9, 2, 7, 4, 7, 3, 6, 9, 1, 6, 6, 8, 1, 0, 1, 2, 5, 8, 9, 0, 4, 1, 9, 4, 2, 2, 8, 1, 8, 7, 1, 6, 0, 4, 4, 2, 7, 2, 9, 9, 7, 1, 5, 9, 2, 7, 4, 4, 2, 3, 5, 6, 6, 6, 7, 0, 1, 5, 3, 2, 2, 1, 6, 2, 4, 8, 2, 8, 1, 7, 7, 5, 6, 1, 0, 6, 8, 5, 6, 5, 5, 7, 3, 1, 0, 4, 0, 2, 6, 4, 4, 4, 3

Offset

1,1

Links

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

Formula

Sum_{k>0} A122437(k+1)*A100982(k)/2^(A020914(k)-1) = 9.47795555655927473691668101258904...

Crossrefs

Cf. A060445 (dropping time of the 3x+1 iteration starting at 2n+1), A100982, A122791.

Sequence in context: A176515 A087017 A065466 * A288241 A199665 A113273

Adjacent sequences: A122787 A122788 A122789 * A122791 A122792 A122793

Keyword

cons,nonn

Author

T. D. Noe, Sep 11 2006

Status

approved