A375325 a(n) is the number of divisors of n which are Loeschian numbers (A003136).

1, 1, 2, 2, 1, 2, 2, 2, 3, 1, 1, 4, 2, 2, 2, 3, 1, 3, 2, 2, 4, 1, 1, 4, 2, 2, 4, 4, 1, 2, 2, 3, 2, 1, 2, 6, 2, 2, 4, 2, 1, 4, 2, 2, 3, 1, 1, 6, 3, 2, 2, 4, 1, 4, 1, 4, 4, 1, 1, 4, 2, 2, 6, 4, 2, 2, 2, 2, 2, 2, 1, 6, 2, 2, 4, 4, 2, 4, 2, 3, 5, 1, 1, 8, 1, 2, 2, 2

Offset

1,3

Links

Table of n, a(n) for n=1..88.

Example

a(1) = 1 because 1 has only one divisor 1 = A003136(2).
a(3) = 2 because 3 has divisors 1 = A003136(2) and 3 = A003136(3).
a(9) = 3 because 9 has the divisors 1 = A003136(2), 3 = A003136(3) and 9 = A003136(6).

Prog

(Magma) f:=func<n|NormEquation(3, n) eq true>; [#[d:d in Divisors(n)|f(d)]:n in [1..150]];

Crossrefs

Cf. A003136.

Sequence in context: A198260 A029350 A166597 * A302490 A316841 A000003

Adjacent sequences: A375322 A375323 A375324 * A375326 A375327 A375328

Keyword

nonn

Author

Marius A. Burtea, Sep 15 2024

Status

approved