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A064647 Denominators of partial sums of reciprocals of primorial numbers. +0
1
2, 3, 10, 105, 770, 15015, 170170, 4849845, 6760390, 3234846615, 200560490130, 72752334655, 4680773285034, 284407855036305, 614889782588491410, 465559406817000639, 44715356980330526490, 19548063559901161830545 (list; graph; listen)
OFFSET

1,1

EXAMPLE

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)=770

MATHEMATICA

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

CROSSREFS

A002110.

Sequence in context: A088222 A155148 A076927 this_sequence A062006 A119810 A055708

Adjacent sequences: A064644 A064645 A064646 this_sequence A064648 A064649 A064650

KEYWORD

frac,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Oct 04 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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