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A334676 a(n) is the least number that can be reached starting from n and iterating the nondeterministic map x -> x/d where d is a nonzero digit of x dividing x. 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 11, 1, 13, 14, 1, 16, 17, 18, 19, 10, 21, 11, 23, 1, 1, 13, 27, 14, 29, 10, 31, 16, 11, 34, 1, 1, 37, 38, 13, 10, 41, 21, 43, 11, 1, 46, 47, 1, 49, 10, 51, 13, 53, 54, 11, 56, 57, 58, 59, 10, 61, 31, 21, 16, 13, 11, 67, 68, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

See A336580 for the positions of 1's.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

FORMULA

a(a(n)) = a(n).

EXAMPLE

For n = 168:

- 168 / 6 = 28, 28 / 2 = 14,

- 168 / 8 = 21,

- so a(168) = 14.

PROG

(PARI) for (n=1, #a=vector(69, k, k), apply (d -> a[n]=min(a[n], a[n/d]), setintersect(Set(digits(n)), divisors(n))); print1 (a[n]", "))

CROSSREFS

See A334684 for a similar sequence.

Cf. A336580.

Sequence in context: A284201 A324660 A336035 * A176998 A328752 A173821

Adjacent sequences:  A334673 A334674 A334675 * A334677 A334678 A334679

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Jul 25 2020

STATUS

approved

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Last modified July 30 04:51 EDT 2021. Contains 346348 sequences. (Running on oeis4.)