A078889 - OEIS

A078889

Decimal expansion of Sum {n>=0} 1/8^(2^n).

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

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..104.

Aubrey J. Kempner, On Transcendental Numbers, Transactions of the American Mathematical Society, volume 17, number 4, October 1916, pages 476-482.

Index entries for transcendental numbers

FORMULA

Equals -Sum_{k>=1} mu(2*k)/(8^k - 1), where mu is the Möbius function (A008683). - Amiram Eldar, Jul 12 2020

EXAMPLE

0.140869200229648328104...

MATHEMATICA