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A160386 Decimal expansion of Sum_{n>=0}(-1)^n/3^(2^n). 4
2, 3, 4, 4, 1, 5, 5, 0, 8, 6, 7, 4, 8, 6, 4, 6, 1, 4, 4, 1, 3, 4, 1, 5, 4, 7, 4, 3, 4, 5, 6, 0, 4, 5, 9, 7, 6, 1, 4, 7, 2, 4, 5, 6, 3, 9, 0, 6, 6, 9, 3, 0, 2, 7, 6, 7, 9, 4, 2, 7, 7, 3, 7, 0, 9, 8, 3, 8, 1, 4, 3, 1, 5, 1, 3, 7, 5, 8, 5, 3, 5, 3, 1, 0, 3, 7, 5, 6, 5, 6, 5, 9, 8, 4, 9, 7, 6, 5, 9, 8, 4, 4, 0, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This sum is among forms which Kempner showed are transcendental. - Kevin Ryde, Sep 16 2019

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..20000

Aubrey J. Kempner, On Transcendental Numbers, Transactions of the American Mathematical Society, Vol. 17, No. 4 (October 1916), pp. 476-482.

Index entries for transcendental numbers

EXAMPLE

0.234415508674864614413415474345604597614724563906693027679427737098381...

PROG

(PARI) { default(realprecision, 20080); x=10*suminf(n=0, (-1)^n/3^(2^n)); for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b160386.txt", n, " ", d)); }

CROSSREFS

Cf. A006467 (continued fraction), A030300 (ternary expansion).

Sequence in context: A172160 A171170 A256913 * A307310 A174015 A014292

Adjacent sequences:  A160383 A160384 A160385 * A160387 A160388 A160389

KEYWORD

nonn,cons

AUTHOR

Harry J. Smith, May 12 2009

STATUS

approved

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Last modified August 8 05:50 EDT 2020. Contains 336290 sequences. (Running on oeis4.)