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A333936 a(n) is the product of the distinct prime factors of A054412(n). 1
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 (list; graph; refs; listen; history; text; internal format)
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: A274213 A078706 A077082 * A193896 A099162 A187327

Adjacent sequences:  A333933 A333934 A333935 * A333937 A333938 A333939

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Apr 11 2020

STATUS

approved

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Last modified November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)