A076187 - OEIS

A076187

Decimal expansion of Sum_{k>=0} 1/2^(k!).

1, 2, 6, 5, 6, 2, 5, 0, 5, 9, 6, 0, 4, 6, 4, 4, 7, 7, 5, 3, 9, 0, 6, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 2, 3, 1, 6, 3, 8, 4, 5, 2, 6, 2, 6, 4, 0, 0, 5, 0, 9, 9, 9, 9, 1, 3, 8, 3, 8, 2, 2, 2, 3, 7, 2, 3, 3, 8, 0, 3, 9, 4, 5, 9, 5, 6, 3, 3, 4, 1, 3, 6, 0, 1, 3, 7, 6, 5, 6, 0, 1, 0, 9, 2, 0, 1, 8, 1, 8

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals Sum_{k>=0} 1/A050923(k).

Equals A092874 plus 0.5. [R. J. Mathar, Sep 08 2008]

EXAMPLE

1.2656250596046447753906250000000000007...

MATHEMATICA

digits = 105; NSum[ 1/2^k!, {k, 0, 12} , WorkingPrecision -> digits] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Mar 04 2013 *)