

A087708


First integer > n reached under iteration of map x > (5/3)*ceiling(x) when started at n, or 1 if no such integer is ever reached.


2



20, 20, 5, 20, 15, 10, 20, 40, 15, 1770, 90, 20, 290, 40, 25, 45, 1770, 30, 90, 95, 35, 290, 65, 40, 70, 345, 45, 220, 1770, 50, 145, 90, 55, 95, 165, 60, 290, 17845, 65, 520, 115, 70, 120, 345, 75, 215, 220, 80, 1770, 140, 85, 145, 415, 90, 715, 1215, 95, 270, 165, 100, 170
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OFFSET

1,1


COMMENTS

It is conjectured that an integer is always reached.


LINKS

Table of n, a(n) for n=1..61.
J. C. Lagarias and N. J. A. Sloane, Approximate squaring (pdf, ps), Experimental Math., 13 (2004), 113128.


MAPLE

c2 := proc(x, y) x*ceil(y); end; r := 5/3; ch := proc(x) local n, y; global r; y := c2(r, x); for n from 1 to 20 do if whattype(y) = 'integer' then RETURN([x, n, y]); else y := c2(r, y); fi; od: RETURN(['NULL', 'NULL', 'NULL']); end; [seq(ch(n)[3], n=1..100)];


CROSSREFS

Cf. A087704, A087705, A087706, A087707, A087709.
Sequence in context: A172164 A267058 A205545 * A220022 A217517 A332561
Adjacent sequences: A087705 A087706 A087707 * A087709 A087710 A087711


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Sep 29 2003


STATUS

approved



