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A318519 a(n) = A000005(n) * A003557(n). 2
1, 2, 2, 6, 2, 4, 2, 16, 9, 4, 2, 12, 2, 4, 4, 40, 2, 18, 2, 12, 4, 4, 2, 32, 15, 4, 36, 12, 2, 8, 2, 96, 4, 4, 4, 54, 2, 4, 4, 32, 2, 8, 2, 12, 18, 4, 2, 80, 21, 30, 4, 12, 2, 72, 4, 32, 4, 4, 2, 24, 2, 4, 18, 224, 4, 8, 2, 12, 4, 8, 2, 144, 2, 4, 30, 12, 4, 8, 2, 80, 135, 4, 2, 24, 4, 4, 4, 32, 2, 36, 4, 12, 4, 4, 4, 192, 2, 42, 18, 90, 2, 8, 2, 32, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

FORMULA

Multiplicative with a(p^e) = (e+1)*(p^(e-1)).

a(n) = A000005(n) * A003557(n).

a(n) = A062355(n) / A173557(n).

PROG

(PARI)

A003557(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 2] = f[i, 2]-1); factorback(f); }; \\ From A003557

A318519(n) = (numdiv(n)*A003557(n));

(PARI) A318519(n) = { my(f=factor(n)); prod(i=1, #f~, (f[i, 2]+1)*(f[i, 1]^(f[i, 2]-1))); };

CROSSREFS

Cf. A000005, A003557, A062355, A173557.

Sequence in context: A068976 A265392 A253139 * A317848 A124859 A021446

Adjacent sequences:  A318516 A318517 A318518 * A318520 A318521 A318522

KEYWORD

nonn,mult

AUTHOR

Antti Karttunen, Sep 16 2018

STATUS

approved

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Last modified April 25 13:31 EDT 2019. Contains 322461 sequences. (Running on oeis4.)