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A007404
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Decimal expansion of Sum {n=0..inf} 1/2^(2^n).
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14
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8, 1, 6, 4, 2, 1, 5, 0, 9, 0, 2, 1, 8, 9, 3, 1, 4, 3, 7, 0, 8, 0, 7, 9, 7, 3, 7, 5, 3, 0, 5, 2, 5, 2, 2, 1, 7, 0, 3, 3, 1, 1, 3, 7, 5, 9, 2, 0, 5, 5, 2, 8, 0, 4, 3, 4, 1, 2, 1, 0, 9, 0, 3, 8, 4, 3, 0, 5, 5, 6, 1, 4, 1, 9, 4, 5, 5, 5, 3, 0, 0, 0, 6, 0, 4, 8, 5, 3, 1, 3, 2, 4, 8, 3, 9, 7, 2, 6, 5, 6, 1, 7, 5, 5, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Sum(n=0..infinity,1/2^(2^n)) = 0.81642150902189314370...
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REFERENCES
| J. O. Shallit, Simple continued fractions for some irrational numbers. J. Number Theory 11 (1979), no. 2, 209-217.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
S. Plouffe, Plouffe's Inverter, sum(1/2^(2^n), n=0..infinity); to 20000 digits
S. Plouffe, sum(1/2^(2^n), n=0..infinity to 1024 digits
J. O. Shallit, Simple continued fractions for some irrational numbers. J. Number Theory 11 (1979), no. 2, 209-217.
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MATHEMATICA
| RealDigits[ N[ Sum[1/2^(2^n), {n, 0, Infinity}], 110]] [[1]]
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PROG
| (PARI) { default(realprecision, 20080); x=suminf(n=0, 1/2^(2^n)); x*=10; for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b007404.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 07 2009]
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CROSSREFS
| Cf. A007400, A078885, A078585, A078886, A078887, A078888, A078889, A078890, A036987.
Sequence in context: A176456 A033812 A019717 * A157697 A005486 A010157
Adjacent sequences: A007401 A007402 A007403 * A007405 A007406 A007407
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KEYWORD
| nonn,cons
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 11 2002
Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
Deleted old PARI program Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 20 2009
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