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

Author

Marius A. Burtea, Sep 15 2024

Keywords

• nonn

Examples

			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).
		

Crossrefs

Cf. A003136.

Programs

Magma

f:=func; [#[d:d in Divisors(n)|f(d)]:n in [1..150]];