A371244 Number of factorizations of n into factors > 3.

1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 1, 2, 1, 2, 2, 1, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 1, 1, 1, 4, 1, 1, 2, 4, 2, 2, 1, 2, 1, 3, 1, 4, 1, 1, 2, 2, 2, 2, 1, 5, 2, 1, 1, 4, 2, 1, 1, 3, 1

Offset

1,16

Links

Table of n, a(n) for n=1..89.

Formula

Dirichlet g.f.: Product_{k>=4} 1 / (1 - k^(-s)).

Example

a(36) = 3: 36 = 4*9 = 6*6.

Crossrefs

Cf. A001055, A008484, A017898, A371211, A371243, A371245.

Sequence in context: A351944 A366918 A066922 * A353835 A033183 A351742

Adjacent sequences: A371241 A371242 A371243 * A371245 A371246 A371247

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 16 2024

Status

approved