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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

%I #36 Jul 30 2020 00:30:47

%S 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,

%T 14,29,10,31,16,11,34,1,1,37,38,13,10,41,21,43,11,1,46,47,1,49,10,51,

%U 13,53,54,11,56,57,58,59,10,61,31,21,16,13,11,67,68,69

%N 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.

%C See A336580 for the positions of 1's.

%H Rémy Sigrist, <a href="/A334676/b334676.txt">Table of n, a(n) for n = 1..10000</a>

%F a(a(n)) = a(n).

%e For n = 168:

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

%e - 168 / 8 = 21,

%e - so a(168) = 14.

%o (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]", "))

%Y See A334684 for a similar sequence.

%Y Cf. A336580.

%K nonn,base

%O 1,10

%A _Rémy Sigrist_, Jul 25 2020

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Last modified April 25 16:23 EDT 2024. Contains 371989 sequences. (Running on oeis4.)