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 A081089 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. 4
 1, 5, 26, 2705, 182925626, 90480665686818032705, 1497566518357295341574859610364164525225308765626, 202921484489818231618925783073836307197468903511468883565202877543941162929513969280065556186031618952557010685032705 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS log(a(n+1))/log(a(n)) --> 1+sqrt(2). The 7th term has 49 digits, while the 8th term has 117 digits. LINKS 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: A132509 A281747 A064489 * A180928 A342998 A342997 Adjacent sequences: A081086 A081087 A081088 * A081090 A081091 A081092 KEYWORD nonn AUTHOR Hans Havermann and Paul D. Hanna, Mar 05 2003 STATUS approved

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Last modified February 5 10:05 EST 2023. Contains 360084 sequences. (Running on oeis4.)