How to Generate Kimberling Sequence - Tutorial, Example

How to Generate Kimberling Sequence - Tutorial

Definition:

A sequence generated by beginning with the Positive integers, then iteratively applying the following algorithm.


Algorithm:

1. In iteration i, discard the i-th element,
2. Alternately write the i+k and i-k-th elements until k=i,
3. Write the remaining elements in order.

Example:

Find the Kimberling sequence for 6 element.

Given,

No of Element = 6 The first few iterations are therefore


Kimberling Sequnce Formula

english Calculators and Converters


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