cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A121061 #13 Oct 12 2024 21:35:10
%S A121061 9,10,16,18,20,22,25,29,31,34,37,42,45,48,50,56,57,60,63,69,71,72,73,
%T A121061 83,85,91,101,102,112,113,114,119,139,144,148,151,155,156,172,175,183,
%U A121061 185,190,192,195,202,208,217,238,242,244,245,247,256,257,272,275,291,293
%N A121061 Numbers k such that k-th partition number A000041(k) is a 3-almost prime (A014612).
%F A121061 A000041(a(n)) in A014612.
%e A121061 a(1) = 9 because P(9) = 30 = 2 * 3 * 5.
%e A121061 a(2) = 10 because P(10) = 42 = 2 * 3 * 7.
%e A121061 a(3) = 16 because P(16) = 231 = 3 * 7 * 11.
%t A121061 Select[Range[300],PrimeOmega[PartitionsP[#]]==3&] (* _James C. McMahon_, Oct 12 2024 *)
%Y A121061 Cf. A000041, A046063, A065728, A065729.
%K A121061 easy,nonn
%O A121061 1,1
%A A121061 _Jonathan Vos Post_, Aug 09 2006
%E A121061 112 and 113 inserted by _R. J. Mathar_, Dec 22 2010