A333936 a(n) is the product of the distinct prime factors of A054412(n).

1, 2, 3, 6, 6, 6, 10, 6, 5, 10, 14, 10, 30, 15, 30, 30, 30, 15, 14, 30, 30, 30, 42, 30, 22, 30, 30, 42, 30, 42, 21, 7, 42, 42, 26, 30, 30, 30, 30, 42, 42, 14, 30, 66, 30, 30, 66, 42, 10, 70, 21, 66, 78, 34, 42, 22, 70, 42, 15, 78, 42, 70, 66, 42, 42, 78, 66

Offset

1,2

Comments

Equivalently, a(n) is the product of the exponents of the prime factorization of A054412(n).

Every squarefree number s appears A001221(s)^A001221(s) times.

Links

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

Rémy Sigrist, PARI program for A333936

Formula

a(n) = A005361(A054412(n)) = A007947(A054412(n)).

Example

For n = 36:
- A054412(36) = 1474560 = 2^15 * 3^2 * 5,
- hence a(36) = 2 * 3 * 5 = 30.

Prog

(PARI) See Links section.

Crossrefs

Cf. A001221, A005361, A007947, A054412.

Sequence in context: A350315 A078706 A077082 * A193896 A099162 A187327

Adjacent sequences: A333933 A333934 A333935 * A333937 A333938 A333939

Keyword

nonn

Author

Rémy Sigrist, Apr 11 2020

Status

approved