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A078889 Decimal expansion of Sum {n>=0} 1/8^(2^n). 8
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Aubrey J. Kempner, On Transcendental Numbers, Transactions of the American Mathematical Society, volume 17, number 4, October 1916, pages 476-482.
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
RealDigits[ N[ Sum[1/8^(2^n), {n, 0, Infinity}], 110]][[1]]
PROG
(PARI) suminf(n=0, 1/8^(2^n)) \\ Michel Marcus, Nov 11 2020
CROSSREFS
Cf. A165426.
Sequence in context: A011291 A338670 A233590 * A176534 A154847 A165738
KEYWORD
cons,nonn
AUTHOR
Robert G. Wilson v, Dec 11 2002
STATUS
approved

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Last modified June 12 14:38 EDT 2024. Contains 373331 sequences. (Running on oeis4.)