login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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 A118391 A196085

Adjacent sequences:  A081086 A081087 A081088 * A081090 A081091 A081092

KEYWORD

nonn

AUTHOR

Hans Havermann and Paul D. Hanna, Mar 05 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 28 17:37 EDT 2020. Contains 334684 sequences. (Running on oeis4.)