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!)
A120340 Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119751(n). 0
1, 1, 4, 3, 13, 9, 302, 207, 43255, 29601, 58966432, 40346163, 1700782246897, 1163704379409, 687683872186748, 470524470741039, 209415712651415308217, 143285523403473419397, 552462361711804327497414320 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

There are only 11 terms of A119751 known and s(11) is 1.4615274858438132136894180577690622581842692760227 to 50 decimal places. What is sum(1/A119751(k),k=1..infinity)?

LINKS

Table of n, a(n) for n=1..19.

FORMULA

a(2n-1) = numerator(s(n)), a(2n)=denominator(s(n)), where s(n)=sum(1/A119751(k),k=1..n).

EXAMPLE

a(5)=13, a(6)=9 since s(3)=1+1/3+1/9=13/9.

CROSSREFS

Cf. A119751, A119753.

Sequence in context: A271159 A268276 A169706 * A082018 A056477 A105200

Adjacent sequences:  A120337 A120338 A120339 * A120341 A120342 A120343

KEYWORD

nonn

AUTHOR

Walter Kehowski, Jun 23 2006

EXTENSIONS

This is not really a sequence. The standard OEIS convention would be to split this into two cross-referenced sequences with keyword "frac". - N. J. A. Sloane, Jul 22 2006

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 8 02:26 EDT 2021. Contains 343652 sequences. (Running on oeis4.)