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%I #13 Oct 12 2024 21:35:10
%S 9,10,16,18,20,22,25,29,31,34,37,42,45,48,50,56,57,60,63,69,71,72,73,
%T 83,85,91,101,102,112,113,114,119,139,144,148,151,155,156,172,175,183,
%U 185,190,192,195,202,208,217,238,242,244,245,247,256,257,272,275,291,293
%N Numbers k such that k-th partition number A000041(k) is a 3-almost prime (A014612).
%F A000041(a(n)) in A014612.
%e a(1) = 9 because P(9) = 30 = 2 * 3 * 5.
%e a(2) = 10 because P(10) = 42 = 2 * 3 * 7.
%e a(3) = 16 because P(16) = 231 = 3 * 7 * 11.
%t Select[Range[300],PrimeOmega[PartitionsP[#]]==3&] (* _James C. McMahon_, Oct 12 2024 *)
%Y Cf. A000041, A046063, A065728, A065729.
%K easy,nonn
%O 1,1
%A _Jonathan Vos Post_, Aug 09 2006
%E 112 and 113 inserted by _R. J. Mathar_, Dec 22 2010