A323878 Number of divisors d of n such that A276086(d) divides n.

0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 0, 3, 0, 1, 0, 2, 0, 4, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 7, 0, 1, 0, 1, 0, 3, 0, 1, 0, 1, 0, 3, 0, 1, 0

Offset

1,6

Links

Antti Karttunen, Table of n, a(n) for n = 1..30030

Index entries for sequences related to primorial base

Formula

a(n) = Sum_{d|n} [A276086(d)|n], where [ ] is the Iverson bracket.

Prog

(PARI)
A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; };
A323878(n) = sumdiv(n, d, !(n%A276086(d)));

Crossrefs

Cf. A276086.

Cf. also A323068, A323069, A323879.

Sequence in context: A318659 A318513 A354058 * A046094 A055976 A293305

Adjacent sequences: A323875 A323876 A323877 * A323879 A323880 A323881

Keyword

nonn,base

Author

Antti Karttunen, Feb 07 2019

Status

approved