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.

1, 5, 26, 2705, 182925626, 90480665686818032705, 1497566518357295341574859610364164525225308765626, 202921484489818231618925783073836307197468903511468883565202877543941162929513969280065556186031618952557010685032705

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

Table of n, a(n) for n=1..8.

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 A366332 A342998

Adjacent sequences: A081086 A081087 A081088 * A081090 A081091 A081092

Keyword

nonn

Author

Hans Havermann and Paul D. Hanna, Mar 05 2003

Status

approved