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A064646 Numerators of partial sums of reciprocals of primorial numbers. 2

%I #5 Oct 15 2013 22:31:07

%S 1,2,7,74,543,10589,120009,3420257,4767631,2281311434,141441308909,

%T 51307141467,3301022547923,200573000466191,433638827007904943,

%U 328326540448842314,31534618884970203647,13785884222546140694347

%N Numerators of partial sums of reciprocals of primorial numbers.

%e n=5, Sum[1/q(j)],j=1..5 = 1/2+1/6+1/30+1/210+1/2310= (1155+385+77+11+1)/2310=1629/2310=543/770, a(5)=543

%t q[x_] := Apply[Times, Table[Prime[j], {j, 1, x}]] a(n)=Numerator[Apply[Plus, Table[1/q[w], {w, 1, n}]]]

%Y A002110.

%K frac,nonn

%O 1,2

%A _Labos Elemer_, Oct 04 2001

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