id:A081089 - OEIS Search Results

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Ratios of the terms of A081088: a(n) = A081088(n+1)/A081088(n); involves the partial quotients of a series of continued fractions that sum to unity.

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5

1, 5, 26, 2705, 182925626, 90480665686818032705, 1497566518357295341574859610364164525225308765626, 20292148448981823161892578307383630719746890351146888356520287754394116292951396\ 9280065556186031618952557010685032705 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`log(a(n+1))/log(a(n)) --> 1+sqrt(2). The 7-th term has 49 digits, while the 8-th term has 117 digits.`
	FORMULA	`a(n) = A081090(n)^2 + 1.`
	EXAMPLE	`a(4) = A081088(5)/A081088(4) = 703300/260 = 2705.`
	CROSSREFS	`Cf. A081086, A081088, A081090.` `Sequence in context: A118366 A132509 A064489 this_sequence A118391 A097088 A091721` `Adjacent sequences: A081086 A081087 A081088 this_sequence A081090 A081091 A081092`
	KEYWORD	`nonn`
	AUTHOR	`Hans Havermann (pxp(AT)rogers.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Mar 05 2003`

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.

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