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A078890 Decimal expansion of Sum {n>=0} 1/9^(2^n). 8
1, 2, 3, 6, 0, 9, 2, 2, 9, 1, 4, 4, 3, 0, 6, 3, 2, 7, 7, 8, 2, 1, 5, 8, 4, 9, 2, 8, 3, 3, 5, 6, 9, 7, 0, 4, 6, 5, 6, 6, 0, 9, 2, 6, 6, 3, 8, 0, 4, 9, 7, 8, 5, 8, 7, 5, 7, 7, 2, 3, 5, 4, 0, 9, 7, 6, 6, 4, 9, 0, 8, 4, 9, 6, 6, 3, 5, 6, 6, 9, 6, 1, 8, 5, 4, 9, 1, 8, 1, 9, 3, 3, 4, 7, 3, 5, 4, 4, 2, 0, 0, 1, 1, 9, 1 (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 A078885 - 1/3 = A078885 - A010701. - R. J. Mathar, Apr 23 2009

Equals -Sum_{k>=1} mu(2*k)/(9^k - 1), where mu is the Möbius function (A008683). - Amiram Eldar, Jul 12 2020

EXAMPLE

0.123609229144306327782...

MATHEMATICA

RealDigits[ N[ Sum[1/9^(2^n), {n, 0, Infinity}], 110]][[1]]

PROG

(PARI) suminf(n=0, 1/9^(2^n)) \\ Michel Marcus, Nov 11 2020

CROSSREFS

Similar sums: A007404, A078885, A078585, A078886, A078887, A078888, A078889, A036987.

Sequence in context: A075174 A075176 A134972 * A021813 A082052 A232930

Adjacent sequences:  A078887 A078888 A078889 * A078891 A078892 A078893

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, Dec 11 2002

STATUS

approved

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Last modified March 3 10:45 EST 2021. Contains 341762 sequences. (Running on oeis4.)