A223854 - OEIS

A223854

Decimal representation of continued fraction sigma(1), sigma(2), sigma(3), sigma(4), ...

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-François Alcover, Feb 24 2014 *)

CROSSREFS

Cf. A000203, A223855, A223856.

Sequence in context: A157957 A201577 A375247 * A333567 A248424 A292525

Adjacent sequences: A223851 A223852 A223853 * A223855 A223856 A223857

KEYWORD

nonn,cons

AUTHOR

Paolo P. Lava, Mar 28 2013

STATUS

approved