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Search: id:A049449
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| 0, 1, 2, 3, 6, 4, 10, 15, 12, 5, 14, 24, 21, 28, 40, 35, 20, 6, 18, 33, 30, 44, 65, 60, 36, 45, 84, 104, 77, 70, 88, 63, 30, 7, 22, 42, 39, 60, 90, 85, 52, 70, 133, 168, 126, 119, 152, 112, 55, 66, 144, 209, 170, 198, 273, 228, 126, 117, 204, 234, 165, 130, 154, 99, 42, 8
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Sum of reciprocals of each row (n > 1) equals 1/2. E.g. 1/3 + 1/6, 1/4 + 1/10 + 1/15 + 1/12 and so on. The link to cut-the-knot gives credit to Pierre Lamothe for this observation. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 11 2006
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REFERENCES
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J. C. Lagarias, Number Theory and Dynamical Systems, pp. 35-72 of S. A. Burr, ed., The Unreasonable Effectiveness of Number Theory, Proc. Sympos. Appl. Math., 46 (1992). Amer. Math. Soc.
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LINKS
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Alexander Bogomolny, Cut-the-knot on Stern-Brocot trees
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FORMULA
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A007305*A007306.
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CROSSREFS
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See comment in A119272.
Adjacent sequences: A049446 A049447 A049448 this_sequence A049450 A049451 A049452
Sequence in context: A152679 A165783 A073318 this_sequence A104663 A046202 A122866
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Megan Wawro (s1095813(AT)cedarville.edu)
More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 11 2006
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