A338714 - OEIS

A338714

Number of numbers of the form i*n with 1 <= i <= n and tau(i*n) = 6.

0, 0, 0, 1, 1, 2, 1, 1, 3, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 8, 2, 1, 1, 3, 0, 3, 1, 2, 2, 2, 0, 3, 2, 2, 0, 3, 0, 3, 1, 1, 2, 3, 0, 14, 1, 2, 1, 4, 0, 2, 0, 2, 2, 4, 0, 4, 2, 1, 0, 2, 0, 4, 1, 2, 0, 4, 0, 4, 2, 1, 1, 2, 0, 4, 0, 1, 2, 4, 0, 2, 2, 2, 0, 4, 0, 2, 1, 2, 2, 2

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OFFSET

1,6

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

PROG

(PARI) a(n) = sum(i=1, n, numdiv(i*n)==6); \\ Michel Marcus, Nov 11 2020

(Python)

from collections import Counter

from sympy import factorint

def A338714(n):

f = Counter(factorint(n))