A345942 -id:A345942 - cp's OEIS frontend

A345941 a(n) = gcd(n, A329044(n)).

1, 2, 3, 4, 5, 3, 7, 2, 3, 5, 11, 3, 13, 7, 5, 4, 17, 9, 19, 5, 7, 11, 23, 3, 25, 13, 3, 7, 29, 5, 31, 2, 11, 17, 7, 9, 37, 19, 13, 5, 41, 7, 43, 11, 5, 23, 47, 3, 7, 25, 17, 13, 53, 9, 11, 7, 19, 29, 59, 5, 61, 31, 7, 4, 13, 11, 67, 17, 23, 7, 71, 9, 73, 37, 25, 19, 11, 13, 79, 5, 3, 41, 83, 7, 17, 43, 29, 11, 89

Offset: 1

Antti Karttunen, Jul 03 2021

nonn

Only powers of primes (A000961) occur as terms. A346087 gives the exponents. - Antti Karttunen, Jul 07 2021

Cf. A000961, A006530, A020639, A071178, A108951, A324886, A329348, A329044, A345942, A345943, A346087, A346097.

A345941(n) = gcd(n,A329044(n)); \\ Rest of program given in A329044.

a(n) = gcd(n, A329044(n)).
a(n) = n / A345942(n).
a(n) = A329044(n) / A345943(n).
a(p) = p for all primes p.
From Antti Karttunen, Jul 07 2021: (Start)
a(n) = A006530(n)^A346087(n) = A006530(n)^min(A071178(n), A329348(n)).
a(n) = gcd(n, A346097(n)).
A006530(a(n)) = A020639(A329044(n)) = A006530(n).
(End)

A345943 a(n) = A329044(n) / gcd(n, A329044(n)).

Original entry on oeis.org

1, 1, 1, 1, 1, 3, 1, 3, 5, 5, 1, 27, 1, 7, 3125, 9, 1, 25, 1, 125, 16807, 11, 1, 45, 2401, 13, 7, 343, 1, 4375, 1, 5, 161051, 17, 99648703, 5625, 1, 19, 371293, 7, 1, 11, 1, 1331, 16807, 23, 1, 125, 23030293, 144120025, 1419857, 2197, 1, 49, 224939, 823543, 2476099, 29, 1, 8575, 1, 31, 65219, 25, 396067447082177, 285311670611

Offset: 1

Antti Karttunen, Jul 04 2021

nonn

Cf. A108951, A324886, A329044, A345941, A345942.

A345943(n) = { my(u=A329044(n)); (u / gcd(n, u)); }; \\ The rest of the program given in A329044.

a(n) = A329044(n) / A345941(n) = A329044(n) / gcd(n, A329044(n)).

cp's OEIS Frontend

A345941 a(n) = gcd(n, A329044(n)).

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