A121061 Numbers k such that k-th partition number A000041(k) is a 3-almost prime (A014612).

9, 10, 16, 18, 20, 22, 25, 29, 31, 34, 37, 42, 45, 48, 50, 56, 57, 60, 63, 69, 71, 72, 73, 83, 85, 91, 101, 102, 112, 113, 114, 119, 139, 144, 148, 151, 155, 156, 172, 175, 183, 185, 190, 192, 195, 202, 208, 217, 238, 242, 244, 245, 247, 256, 257, 272, 275, 291, 293

Offset: 1

Author

Jonathan Vos Post, Aug 09 2006

Keywords

• easy
• nonn

Examples

			a(1) = 9 because P(9) = 30 = 2 * 3 * 5.
a(2) = 10 because P(10) = 42 = 2 * 3 * 7.
a(3) = 16 because P(16) = 231 = 3 * 7 * 11.
		

Crossrefs

Cf. A000041, A046063, A065728, A065729.

Programs

Mathematica

Select[Range[300],PrimeOmega[PartitionsP[#]]==3&] (* James C. McMahon, Oct 12 2024 *)

Formula

A000041(a(n)) in A014612.

Extensions

112 and 113 inserted by R. J. Mathar, Dec 22 2010