A348969 a(n) = n / gcd(n, A099377(n)).

1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 28, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 5, 1, 6, 1, 2, 1, 2, 1, 2, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 6, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 28, 1, 1, 3, 1, 1, 3, 7, 4, 1, 2, 5, 3, 1, 1, 1, 1, 1, 3, 1, 1, 3

Offset

1,6

Links

Table of n, a(n) for n=1..105.

Formula

a(n) = n / A348968(n) = n / gcd(n, A099377(n)).

Prog

(PARI)
A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
A099377(n) = { my(d=divisors(n)); numerator(#d/sum(k=1, #d, 1/d[k])); }; \\ From A099377
A348969(n) = (n / gcd(n, A099377(n)));

Crossrefs

Cf. A057021, A099377, A348510, A348968.

Sequence in context: A030381 A318663 A359196 * A030380 A066636 A137578

Adjacent sequences: A348966 A348967 A348968 * A348970 A348971 A348972

Keyword

nonn

Author

Antti Karttunen, Nov 05 2021

Status

approved