A353360 - OEIS

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A353360

a(n) = A006047(A048675(n)).

1, 2, 3, 3, 4, 2, 9, 2, 4, 6, 12, 4, 12, 2, 3, 4, 12, 6, 36, 3, 4, 18, 16, 6, 9, 6, 3, 4, 81, 6, 144, 6, 3, 18, 4, 3, 324, 24, 12, 6, 432, 6, 108, 3, 9, 24, 576, 3, 12, 2, 12, 12, 11664, 6, 9, 6, 48, 6, 972, 9, 3888, 216, 4, 3, 4, 6, 1728, 12, 12, 8, 8748, 6, 5184, 162, 4, 48, 9, 18, 34992, 9, 9, 648, 15552, 4, 36, 72

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..86.

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = A006047(A048675(n)).

PROG

(PARI)

A006047(n) = { my(m=1, d); while(n, d = (n%3); m *= (1+d); n = (n-d)/3); m; };

A048675(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*2^primepi(f[k, 1]))/2; };