id:A081462 - OEIS Search Results

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Consider the mapping f(a/b) = (a^2+b^3)/(a^3+b^2) from rationals to rationals. Starting with 1/2 (a=1, b=2) and applying the mapping to each new (reduced) rational number gives 1/2, 9/5, 103/377, ... . Sequence gives values of the denominators.

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4

2, 5, 377, 617428, 19241552119440973526245, 6579843627298148620615676439841151690983233028443241 (list; graph; listen)

	OFFSET	`1,1`
	PROGRAM	`(PARI) {r=1/2; for(n=1, 7, a=numerator(r); b=denominator(r); print1(b, ", "); r=(a^2+b^3)/(a^3+b^2))}`
	CROSSREFS	`Cf. A000058, A081461, A081466.` `Sequence in context: A042341 A016088 A042909 this_sequence A035128 A138696 A163798` `Adjacent sequences: A081459 A081460 A081461 this_sequence A081463 A081464 A081465`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 22 2003`
	EXTENSIONS	`Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 28 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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