id:A119272 - OEIS Search Results

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A119272

Product of numerator and denominator in Stern-Brocot tree.

+0
2

0, 0, 1, 2, 2, 3, 6, 6, 3, 4, 10, 15, 12, 12, 15, 10, 4, 5, 14, 24, 21, 28, 40, 35, 20, 20, 35, 40, 28, 21, 24, 14, 5, 6, 18, 33, 30, 44, 65, 60, 36, 45, 84, 104, 77, 70, 88, 63, 30, 30, 63, 88, 70, 77, 104, 84, 45, 36, 60, 65, 44, 30, 33, 18, 6, 7, 22, 42, 39, 60, 90, 85, 52, 70 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`The sum of the reciprocals of each row (n > 0) is 1 (i.e., 1/1, 1/2 + 1/2, 1/3 + 1/6 + 1/6 + 1/3, 1/4 + ... + 1/4, 1/5 + ... + 1/5, ...). The cut-the-knot link gives credit to Pierre Lamothe for this observation.`
	LINKS	`Alexander Bogomolny, Cut-the-knot on Stern-Brocot trees`
	FORMULA	`Take each row of A049449 and append its reverse.`
	CROSSREFS	`Cf. A049449 has the first half of each row.` `Sequence in context: A116447 A137757 A132886 this_sequence A070871 A096115 A093919` `Adjacent sequences: A119269 A119270 A119271 this_sequence A119273 A119274 A119275`
	KEYWORD	`nonn`
	AUTHOR	`Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 11 2006`

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.

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