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Search: id:A078585
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| A078585 |
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Decimal expansion of Sum {n=0..inf} 1/4^(2^n). |
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+0
10
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| 3, 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; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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Sum {0..infinity} 1/4^(2^n) = 0.316421509021893143708...
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
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EXAMPLE
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0.316421509021893143708079737530525221703311375920552804341210903843055... [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 11 2009]
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MATHEMATICA
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RealDigits[ N[ Sum[1/4^(2^n), {n, 0, Infinity}], 110]][[1]]
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PROGRAM
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(PARI) { default(realprecision, 20080); x=suminf(n=0, 1/4^(2^n)); x*=10; for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b078585.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 11 2009]
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CROSSREFS
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Continued fraction is given in A006464. Cf. A007404, A078885, A078886, A078887, A078888, A078889, A078890, A036987.
Cf. A006464 = Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 11 2009]
Sequence in context: A108286 A131415 A121437 this_sequence A116551 A163330 A021320
Adjacent sequences: A078582 A078583 A078584 this_sequence A078586 A078587 A078588
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KEYWORD
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cons,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 01 2002
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EXTENSIONS
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Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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