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

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; };
A353360(n) = A006047(A048675(n));

Crossrefs

Cf. A006047, A048675.

Cf. also A332813, A332823 and A353330.

Sequence in context: A159909 A176004 A214738 * A098007 A278116 A352420

Adjacent sequences: A353357 A353358 A353359 * A353361 A353362 A353363

Keyword

nonn

Author

Antti Karttunen, Apr 20 2022

Status

approved