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A121061
Numbers k such that k-th partition number A000041(k) is a 3-almost prime (A014612).
0
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
1,1
FORMULA
A000041(a(n)) in A014612.
EXAMPLE
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.
MATHEMATICA
Select[Range[300], PrimeOmega[PartitionsP[#]]==3&] (* James C. McMahon, Oct 12 2024 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Aug 09 2006
EXTENSIONS
112 and 113 inserted by R. J. Mathar, Dec 22 2010
STATUS
approved