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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 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 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. Similar sums: A007404, A078885, A078585, A078886, A078887, A078888, A078890, A036987. Sequence in context: A011291 A338670 A233590 * A176534 A154847 A165738 Adjacent sequences: A078886 A078887 A078888 * A078890 A078891 A078892 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.)