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A334039 For any n > 0: start with x = n; for k = 1..n, if k divides x then divide x by k; a(n) corresponds to the final value of x. 1
1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 1, 5, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 7, 5, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 5, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Every integer appears infinitely many times in this sequence.

LINKS

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

FORMULA

a(s) = 1 for any squarefree number s.

a(p^2) = p for any prime number p.

a(p^k) = p^A002262(k) for any k >= 0 and prime number p.

a(n!) = 1 for any n >= 0.

a(n! * k) = k for any n >= 1 and k = 1..n.

PROG

(PARI) a(n) = { fordiv (n, d, if (n%d==0, n\=d); if (n<=d, return (n))) }

CROSSREFS

Cf. A002262.

Sequence in context: A134505 A329376 A336643 * A076933 A071974 A056622

Adjacent sequences:  A334036 A334037 A334038 * A334040 A334041 A334042

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Apr 13 2020

STATUS

approved

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)