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A250033 a(n) gives the denominators for A250031(n) as well as for A250032(n). 5

%I #11 Dec 02 2014 16:49:19

%S 1,2,2,24,15,45,35,280,630,2100,2310,27720,10010,140140,150150,480480,

%T 255255,2297295,4849845,96996900,101846745,106696590,111546435,

%U 669278610,929553625,966735770,1003917915,3123300180,3234846615,48522699225,100280245065,1604483921040,6618496174290,6819056664420,7019617154550,7220177644680

%N a(n) gives the denominators for A250031(n) as well as for A250032(n).

%C See the comments in sequences A250031 and A250032.

%H Stanislav Sykora, <a href="/A250033/b250033.txt">Table of n, a(n) for n = 1..1000</a>

%H S. Sykora, On some number densities related to coprimes, Stan's Library, Vol.V, Nov 2014, DOI: <a href="http://dx.doi.org/10.3247/SL5Math14.005">10.3247/SL5Math14.005</a>

%F a(n)=A250031(n)+A250032(n).

%o (PARI) s_aux(n,p0,inp)={my(t=0/1,tt=0/1,in=inp,pp);while(1,pp=p0*prime(in);tt=n\pp;if(tt==0,break,t+=tt/pp-s_aux(n,pp,in++)));return(t)};

%o s(n)=1+s_aux(n,1,1);

%o a=vector(1000,n,denominator(s(n-1)/n))

%Y Cf. A250031, A250032.

%K nonn,frac

%O 1,2

%A _Stanislav Sykora_, Nov 16 2014

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Last modified April 24 06:52 EDT 2024. Contains 371920 sequences. (Running on oeis4.)