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A223854
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Decimal representation of continued fraction sigma(1), sigma(2), sigma(3), sigma(4), ...
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6
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1, 3, 0, 8, 4, 9, 2, 4, 4, 5, 4, 9, 9, 1, 9, 5, 2, 4, 9, 4, 2, 7, 1, 2, 9, 3, 4, 6, 1, 2, 3, 5, 7, 2, 7, 4, 7, 6, 1, 1, 9, 9, 8, 9, 1, 4, 2, 1, 7, 7, 5, 7, 6, 6, 6, 4, 4, 5, 3, 8, 8, 0, 4, 7, 0, 4, 9, 1, 5, 4, 3, 9, 0, 8, 9, 8, 7, 5, 4, 7, 2, 6, 0, 0, 9, 1, 8
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OFFSET
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1,2
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LINKS
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EXAMPLE
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1.308492445499195249427129346123 ...
= [1, 3, 4, 7, 6, 12, 8, 15, 13, 18, 12, 28, 14, 24, 24, ...]
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MAPLE
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with(numtheory);
A223854:=proc(q) local a, n; a:=sigma(q+1);
for n from q by -1 to 1 do a:=1/a+sigma(n); od; print(evalf(a, 100)); end:
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MATHEMATICA
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digits = 100; Flatten[ContinuedFraction[Table[DivisorSigma[1, n], {n, 1, digits}]]] // FromContinuedFraction // RealDigits[#, 10, digits] & // First (* Jean-François Alcover, Feb 24 2014 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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