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Search: id:A039662
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| A039662 |
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Decimal expansion of Michael Trott's constant: continued fraction expansion (allowing 0's) begins in same way as decimal expansion. |
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+0
5
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| 0, 1, 0, 8, 4, 1, 0, 1, 5, 1, 2, 2, 3, 1, 1, 1, 3, 6, 1, 5, 1, 1, 2, 9, 0, 8, 1, 1, 4, 0, 6, 4, 1, 5, 0, 9, 1, 1, 2, 2, 1, 5, 8, 0, 9, 0, 9, 3, 9, 0, 9, 0, 9, 1
(list; cons; graph; listen)
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OFFSET
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0,4
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LINKS
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S. Plouffe, The Trott constant
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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EXAMPLE
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Let {a,b,c,d,...} mean a+1/(b+1/(c+1/(d+...))). Then {0,1,0,...,9,0,9,1} =
0 + 1/(1 + 1/(0 + 1/ (8 + 1/ (4 + 1/ (1 + 1/ (0 + 1/ (1 + 1/ (5 + 1/
(1 + 1/ (2 + 1/ (2 + 1/ (3 + 1/ (1 + 1/(1 + 1/(1 + 1/(3 + 1/(6 + 1/
(1 + 1/(5 + 1/(1 + 1/(1 + 1/(2 + 1/(9 + 1/(0 +1/(8 + 1/(1 + 1/(1 +
1/(4 + 1/(0 + 1/(6 + 1/(4 + 1/(1 + 1/(5 + 1/(0 + 1/(9 +1/(1 + 1/
(1 + 1/(2 + 1/(2 + 1/(1 + 1/(5 + 1/(8 + 1/(0 + 1/(9 + 1/(0 +
1/(9 + 1/(3 + 1/(9 + 1/(0 + 1/(9 + 1/1)))))
))))))))))))))))))))))))))))))))))))))))))))) =
17928273845270692 / 165374493467625219 = 0.108410151223111361511290811406414793...
and the digits agree to 32 places.
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CROSSREFS
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Cf. A039663, A091694, A113307.
Sequence in context: A104768 A049255 A028577 this_sequence A011267 A049469 A021547
Adjacent sequences: A039659 A039660 A039661 this_sequence A039663 A039664 A039665
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KEYWORD
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nonn,more,cons
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AUTHOR
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Simon Plouffe, Michael Trott (mtrott(AT)wolfram.com)
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EXTENSIONS
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I do not know if this can be modified to give more terms of agreement - njas.
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