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A176501
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Farey(m; I) where m = Fibonacci (n + 1) and I = [1/n, 1].
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12
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1, 2, 4, 9, 19, 50, 122, 317, 837, 2213, 5758, 15236, 40028, 105079, 276627, 727409, 1910685, 5020094
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OFFSET
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1,2
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COMMENTS
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This sequence arises in the analytically obtained strict upper bound of the set of equivalent resistances formed by any conceivable network (series/parallel or bridge, or non-planar) of n equal resistors. Consequently it provides an strict upper bound of the sequences: A048211, A153588, A174283, A174284, A174285 and A174286. This strict upper bound provided by this difficult to compute (due to computer memory) sequence is better than the easier to compute Sequence A176499.
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REFERENCES
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Antoni Amengual, The intriguing properties of the equivalent resistances of n equal resistors combined in series and in parallel, American Journal of Physics, 68(2), 175-179 (February 2000). Digital Object Identifier (DOI): http://dx.doi.org/10.1119/1.19396
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LINKS
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Table of n, a(n) for n=1..18.
Sameen Ahmed Khan, The bounds of the set of equivalent resistances of n equal resistors combined in series and in parallel, arXiv:1004.3346v1 [physics.gen-ph], (20 April 2010).
Sameen Ahmed Khan, Mathematica notebook
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EXAMPLE
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n = 5, I = [1/5, 1], m = Fibonacci(5 + 1) = 8, Farey(8) = 23, Farey(8; I) = 19
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CROSSREFS
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A048211, A153588, A174283, A174284, A174285 and A174286, A176499, A176500, A176502.
Sequence in context: A000080 A153447 A076893 * A096354 A076838 A034749
Adjacent sequences: A176498 A176499 A176500 * A176502 A176503 A176504
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KEYWORD
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more,nonn
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AUTHOR
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Sameen Ahmed KHAN (rohelakhan(AT)yahoo.com), Apr 21 2010
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STATUS
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approved
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