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A048823 a(n) = value of n defined as follows: start with n and reach 2 by repeatedly either dividing by d where d <= the square root or by subtracting 1. The division steps are free, but subtracting 1 costs 1 point. The "value" of n is the smallest cost to reach 2. 3
0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 3, 0, 1, 1, 1, 2, 3, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 3, 2, 1, 2, 3, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 3, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 2, 3, 1, 1, 2, 2, 3, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,6

LINKS

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

Sean A. Irvine, Java program (github)

CROSSREFS

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

Sequence in context: A029372 A029377 A128186 * A173655 A025871 A051010

Adjacent sequences: A048820 A048821 A048822 * A048824 A048825 A048826

KEYWORD

nonn

AUTHOR

Christian G. Bower, May 15 1999

EXTENSIONS

Missing a(2)=0 inserted by Sean A. Irvine, Jul 09 2021

STATUS

approved

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Last modified March 24 12:09 EDT 2023. Contains 361479 sequences. (Running on oeis4.)