11348
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Visualizations of a Recursive Sequence
The recursive sequence defined by
is
at
. The values of the sequence are divided into blocks of values between
and
and visualized in several ways.
Contributed by:
Enrique Zeleny
THINGS TO TRY
Automatic Animation
SNAPSHOTS
DETAILS
Snapshot 1: plots of each block superposed and scaled to fit the same range.
Snapshot 2: plots of each block at different levels.
Snapshot 3: superimposing the points
of each block versus
, where
. The picture shows a preferred orientation and the points lie on lines.
Snapshot 4: blocks aligned from the left; a maximum of 23 values is shown. Notice that even or odd values lie in the same column.
Snapshot 5: blocks normalized and scaled to fit the same range.
The author conjectures that is possible to generate this sequence with a substitution system of some kind.
RELATED LINKS
Recursive Sequence
(
Wolfram
MathWorld
)
Recursive Sequences
(
NKS|Online
)
PERMANENT CITATION
"
Visualizations of a Recursive Sequence
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VisualizationsOfARecursiveSequence/
Contributed by:
Enrique Zeleny
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Recursive Exercises X: Nested Squares
Jaime Rangel-Mondragon
Recursive Exercises IX: Gothic Windows
Jaime Rangel-Mondragon
Recursive Exercises VII: Stacks of Cubes
Jaime Rangel-Mondragon
Look and Say Sequence Substrings
Michael Schreiber
Parity Recurrence in Thue-Morse Sequence
Michael Schreiber
Wunderlich Curves
Robert Dickau
Tree Form of Recursive Function Evaluation Steps
Enrique Zeleny
Conway Sequence with Varying Initial Conditions
Enrique Zeleny
Recursively Defined Partial Tilings of the Plane
Enrique Zeleny
Iteration versus Recursion in the Fibonacci Sequence
Ann Rajan
Related Topics
Discrete Mathematics
Recursion
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+