id:A028257 - OEIS Search Results

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Engel expansion of sqrt(3).

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1, 2, 3, 3, 6, 17, 23, 25, 27, 73, 84, 201, 750, 24981, 46882, 119318, 121154, 242807, 276226, 3009377, 3383197, 37871208, 45930966, 261728403, 281868388, 3021299588, 3230725884, 13646315477 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..300` `Naoki Sato, Home page` `Eric Weisstein's World of Mathematics, Engel Expansion` `Index entries for sequences related to Egyptian fractions`
	FORMULA	`For a number x (here sqrt(3)), define a(1)<=a(2)<=a(3)<=.. so that x = 1/a(1) + 1/a(1)a(2) + 1/a(1)a(2)a(3) + .. by x(1)=x, a(n) = ceil(1/x(n)), x(n+1) = x(n)a(n)-1.`
	CROSSREFS	`Cf. A006784 (for definition of Engel expansion).` `Sequence in context: A049875 A087989 A103356 this_sequence A100228 A111003 A140182` `Adjacent sequences: A028254 A028255 A028256 this_sequence A028258 A028259 A028260`
	KEYWORD	`nonn`
	AUTHOR	`Naoki Sato (naoki(AT)math.toronto.edu)`
	EXTENSIONS	`Better name and more terms from Simon Plouffe (plouffe(AT)math.uqam.ca).`

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Last modified September 5 17:15 EDT 2008. Contains 143476 sequences.

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