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.

A085561 Number of prime divisors of the partition numbers (counted with multiplicity).

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%I A085561 #17 Dec 28 2017 14:31:34
%S A085561 0,0,1,1,1,1,1,2,2,3,3,4,2,1,4,5,3,4,3,4,3,6,3,2,5,3,5,4,4,3,4,3,4,5,
%T A085561 3,4,1,3,4,7,5,4,3,6,4,3,4,5,3,4,3,4,5,4,5,5,3,3,5,6,3,5,5,3,5,2,9,2,
%U A085561 5,3,8,3,3,3,7,8,2,1,5,5,6,2,6,3,6,3,5,2,5,5,2,3,2,2,8,2,15,7,5,4,6,3,3,5,4
%N A085561 Number of prime divisors of the partition numbers (counted with multiplicity).
%H A085561 Giovanni Resta, <a href="/A085561/b085561.txt">Table of n, a(n) for n = 0..10000</a>
%F A085561 a(n) = A001222(A000041(n)). - _Andrew Howroyd_, Dec 28 2017
%p A085561 with(numtheory):with(combinat):a:=proc(n) if n=0 then 0 else bigomega(numbpart(n)) fi end: seq(a(n), n=0..104); # _Zerinvary Lajos_, Apr 11 2008
%t A085561 PrimeOmega[PartitionsP[Range[0,110]]] (* _Harvey P. Dale_, Dec 26 2014 *)
%o A085561 (PARI) a(n)={bigomega(numbpart(n))} \\ _Andrew Howroyd_, Dec 28 2017
%Y A085561 Cf. A001222, A000041.
%K A085561 nonn
%O A085561 0,8
%A A085561 _Jason Earls_, Jul 05 2003