A075102 Number of steps to reach the first integer starting with 2^n/n and iterating the map x->x*ceiling(x), or -1 if no integer is ever reached.

0, 0, 1, 0, 2, 5, 5, 0, 2, 4, 1, 1, 13, 12, 3, 0, 19, 3, 4, 8, 10, 11, 20, 1, 7, 1, 3, 8, 12, 1, 2, 0, 20, 6, 4, 7, 8, 23, 39, 1, 21, 8, 13, 16, 4, 1, 9, 7, 1, 6, 23, 30, 73, 6, 3, 14, 7, 7, 20, 12, 228, 16, 3, 0, 10, 5, 96, 3, 4, 13, 28, 3, 72, 57, 7, 9, 6, 6

Offset: 1

Author

Reinhard Zumkeller, Sep 02 2002

Keywords

• nonn

Comments

The starting value is A075101(n)/A000265(n).

Examples

			a(5)=2 since (2^5)/5 = 32/5 -> 224/5 -> 2016 = A075103(5).
		

Links

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

Crossrefs

Cf. A000265, A068119, A073524, A075101, A075103.

Extensions

More terms from Jinyuan Wang, Jan 15 2022