login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A161368 Engel expansion of sqrt(7). 0
1, 1, 2, 4, 7, 7, 8, 14, 16, 21, 36, 40, 41, 354, 407, 568, 2253, 2392, 6783, 8608, 10968, 23813, 149663, 1353193, 2273258, 11992211, 18888350, 35589752, 279408946, 926928928, 7122445646, 12200380022, 24793374441, 1006675801235 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..34.

Index to sequences related to Engel expansions

EXAMPLE

2.645751311... = 1/1+1/(1*1)+1/(1*1*2)+1/(1*1*2*4)+1/(1*1*2*4*7)+1/(1*1*2*4*7*7)+....

MATHEMATICA

EngelExp[A_, n_]:=Join[Array[1&, Floor[A]], First@Transpose@NestList[ {Ceiling[1/Expand[ #[[1]]#[[2]]-1]], Expand[ #[[1]]#[[2]]-1]}&, {Ceiling[1/(A-Floor[A])], A-Floor[A]}, n-1]]; EngelExp[N[7^(1/2), 7! ], 50]

CROSSREFS

Cf. A010465, A059176.

Sequence in context: A154614 A161211 A276807 * A023978 A152488 A109359

Adjacent sequences:  A161365 A161366 A161367 * A161369 A161370 A161371

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 08 2009

EXTENSIONS

Added example and link to index - R. J. Mathar, Sep 23 2009

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 11 05:41 EST 2017. Contains 295868 sequences.