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A272428
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Expansion of the continued fraction x/(1-pi(2)*x/(1-pi(3)*x/(1-pi(4)*x/(1-...)))).
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1
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0, 1, 1, 3, 13, 71, 461, 3447, 29093, 272767, 2797069, 30897015, 362691733, 4475707535, 57612706973, 769779683367, 10648337804645, 152377871778559, 2256813406989421, 34636615303780503
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OFFSET
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0,4
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COMMENTS
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The initial similarity with A233824 may explain that method's success in representing pi(n).
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LINKS
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FORMULA
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G.f.: x/(1-pi(2)*x/(1-pi(3)*x/(1-pi(4)*x/(1-...)))) a continued fraction.
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MATHEMATICA
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CoefficientList[Series[x/(1 + ContinuedFractionK[-x*PrimePi[k], 1, {k, 2, 60}]), {x, 0, 60}], x]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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