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Search: id:A065445
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| A065445 |
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Decimal expansion of Product{k=0..inf} (1+1/2^(2k))^(1/2). |
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+0
2
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| 1, 6, 4, 6, 7, 6, 0, 2, 5, 8, 1, 2, 1, 0, 6, 5, 6, 4, 8, 3, 6, 6, 0, 5, 1, 2, 2, 2, 2, 8, 2, 2, 9, 8, 4, 3, 5, 6, 5, 2, 3, 7, 6, 7, 2, 5, 7, 0, 1, 0, 2, 7, 4, 0, 9, 0, 1, 2, 4, 0, 5, 3, 1, 7, 5, 5, 1, 7, 2, 8, 1, 6, 2, 4, 3, 9, 1, 4, 1, 3, 7, 2, 1, 6, 1, 8, 8, 6, 9, 3, 9, 9, 9, 0, 7, 6, 5, 6, 4, 3, 5, 6, 6, 7, 9
(list; cons; graph; listen)
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OFFSET
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1,2
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REFERENCES
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S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 354-361.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,2000
S. R. Finch, Digital Search Tree Constants
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EXAMPLE
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1.646760258...
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MATHEMATICA
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N[ Product[ Sqrt[ (1 + 1/2^(2k) ) ], {k, 0, Infinity} ], 500 ]
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PROGRAM
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(PARI) { default(realprecision, 2080); x=prodinf(k=0, sqrt(1 + 1/2^(2*k))); for (n=1, 2000, d=floor(x); x=(x-d)*10; write("b065445.txt", n, " ", d)) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 04 2009]
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CROSSREFS
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Cf. A065045.
Sequence in context: A130786 A153606 A086057 this_sequence A164293 A141796 A105160
Adjacent sequences: A065442 A065443 A065444 this_sequence A065446 A065447 A065448
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 18 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 19 2001
Terms corrected and terms added by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 04 2009
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