A087670 The first integer in the sequence defined by b(0)=(2n+1)/n and b(k+1)=b(k)*floor(b(k)) for k>=0.

3, 5, 336, 18, 8003163168, 86632, 7191948600, 17, 72960

Offset

1,1

Comments

a(10) ~= 2.767*10^155 is too large to show here.

It is conjectured that an integer is always reached if the initial value is >= 2.

Links

Table of n, a(n) for n=1..9.

J. C. Lagarias and N. J. A. Sloane, Approximate squaring (pdf, ps), Experimental Math., 13 (2004), 113-128.

Crossrefs

Cf. A087669 (steps to reach an integer), A087666.

Sequence in context: A087368 A309740 A280035 * A271390 A138584 A277995

Adjacent sequences: A087667 A087668 A087669 * A087671 A087672 A087673

Keyword

nonn

Author

N. J. A. Sloane, Sep 27 2003

Status

approved