Conway Sequence with Varying Initial Conditions

​
steps
128
initial condition number
1
adjust curve
method
SpringElectricalEmbedding
RadialDrawing
The Conway sequence
a(n)
is defined by
a(n)=a(a(n-1))+a(n-a(n-1))
, where
a(1)=a(2)=1
. In this Demonstration you can vary the initial conditions, but the sequence may be undefined for some values of
n
. A wide variety of behaviors is observed, including variations of the Blancmange function. A call graph is also shown.

External Links

Recursive Sequence (Wolfram MathWorld)
Hofstadter-Conway $10,000 Sequence (Wolfram MathWorld)
Recursive Sequence (NKS|Online)
Blancmange Function (Wolfram MathWorld)

Permanent Citation

Enrique Zeleny
​
​"Conway Sequence with Varying Initial Conditions"​
​http://demonstrations.wolfram.com/ConwaySequenceWithVaryingInitialConditions/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007