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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; internal format)
OFFSET

1,2

COMMENTS

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 * A180928 A118391 A196085

Adjacent sequences:  A081086 A081087 A081088 * A081090 A081091 A081092

KEYWORD

nonn

AUTHOR

Hans Havermann (gladhobo(AT)teksavvy.com) and Paul D. Hanna (pauldhanna(AT)juno.com), Mar 05 2003

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Last modified February 15 21:45 EST 2012. Contains 205860 sequences.