A048825 Start with n and reach 2 by repeatedly either dividing by d where d <= the square root or by adding 1. The division steps are free, but adding 1 costs 1 point. a(n) is the smallest cost to reach 2.

0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 3, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 3, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 3, 2, 1, 1, 1, 0, 3, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 3, 2, 3, 2

Offset

2,4

Links

Table of n, a(n) for n=2..104.

Crossrefs

Cf. A047988. Same formula except you cannot subtract 1 (only add).

Sequence in context: A169590 A300185 A262804 * A339884 A116375 A301343

Adjacent sequences: A048822 A048823 A048824 * A048826 A048827 A048828

Keyword

nonn

Author

Christian G. Bower, May 15 1999

Extensions

Edited by Max Alekseyev, Jun 13 2011

Status

approved