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A158933 Decimal expansion of sum{n>=1}((-1)^(n+1))*1/F(n) where F(n) is the n-th Fibonacci number A000045(n). 2
2, 8, 9, 1, 4, 4, 6, 4, 8, 5, 7, 0, 6, 7, 1, 5, 8, 3, 1, 1, 2, 3, 0, 5, 5, 0, 9, 6, 1, 5, 7, 2, 9, 1, 6, 6, 9, 5, 4, 8, 8, 1, 9, 5, 1, 5, 8, 9, 6, 9, 1, 3, 6, 0, 0, 2, 5, 0, 2, 6, 4, 8, 5, 0, 6, 3, 0, 3, 5, 7, 6, 1, 7, 3, 8, 8, 6, 4, 5, 5, 1, 5, 8, 2, 4, 1, 1, 5, 8, 3, 1, 8, 2, 8, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..94.

Eric W. Weisstein, MathWorld: Reciprocal Fibonacci Constant

EXAMPLE

.2891446485706715831123055096157291669...

MAPLE

with(combinat, fibonacci):Digits:=100:s:=0:for n from 1 to 2000 do: a1:=fibonacci(n):s:=s+evalf(1/a1)*(-1)^(n+1):od:print(s):

MATHEMATICA

digits = 95; NSum[(-1)^(n+1)*(1/Fibonacci[n]), {n, 1, Infinity}, WorkingPrecision -> digits+1, NSumTerms -> digits] // RealDigits[#, 10, digits]& // First (* Jean-Fran├žois Alcover, Jan 28 2014 *)

PROG

(PARI) -sumalt(n=1, (-1)^n/fibonacci(n)) \\ Charles R Greathouse IV, Oct 03 2016

CROSSREFS

Cf. A079586, A000045.

Sequence in context: A016641 A155748 A152748 * A200502 A316138 A011062

Adjacent sequences:  A158930 A158931 A158932 * A158934 A158935 A158936

KEYWORD

nonn,cons

AUTHOR

Michel Lagneau, Mar 26 2011

EXTENSIONS

Offset corrected by Arkadiusz Wesolowski, Jun 28 2011

STATUS

approved

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Last modified August 22 20:47 EDT 2019. Contains 326209 sequences. (Running on oeis4.)