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A223854 Decimal representation of continued fraction sigma(1), sigma(2), sigma(3), sigma(4), ... 6
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Paolo P. Lava, Table of n, a(n) for n = 1..1000

EXAMPLE

1.308492445499195249427129346123 ...

=  [1, 3, 4, 7, 6, 12, 8, 15, 13, 18, 12, 28, 14, 24, 24, ...]

MAPLE

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:

A223854(10^5);

MATHEMATICA

digits = 100; Flatten[ContinuedFraction[Table[DivisorSigma[1, n], {n, 1, digits}]]] // FromContinuedFraction // RealDigits[#, 10, digits] & // First (* Jean-Fran├žois Alcover, Feb 24 2014 *)

CROSSREFS

Cf. A000203, A223855, A223856.

Sequence in context: A144807 A157957 A201577 * A333567 A248424 A292525

Adjacent sequences:  A223851 A223852 A223853 * A223855 A223856 A223857

KEYWORD

nonn,cons

AUTHOR

Paolo P. Lava, Mar 28 2013

STATUS

approved

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Last modified October 1 15:55 EDT 2020. Contains 337443 sequences. (Running on oeis4.)