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A356153 Denominator of n / the smallest positive k such that n divides k*A276086(k), where A276086 is primorial base exp-function. 5
1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(n) = A355944(n) / A356151(n) = A355944(n) / gcd(n, A355944(n)).
PROG
(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A356153(n) = for(k=1, oo, if((k*A276086(k))%n==0, return(k/gcd(n, k))));
CROSSREFS
Cf. A276086, A324580, A355944, A355945, A356151, A356152 (numerators), A356154 (Dirichlet inverse).
Sequence in context: A290105 A191898 A043290 * A194333 A203640 A043289
KEYWORD
nonn,frac
AUTHOR
Antti Karttunen, Jul 28 2022
STATUS
approved

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Last modified May 25 10:31 EDT 2024. Contains 372787 sequences. (Running on oeis4.)