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Select a series: Fibonacci(i),
powers or multiples of Phi or phi.
For Fibonacci(i) and Lucas(i) you have a choice of precision: exact or approximate.
Exact: the calculator will find Fibonacci(i) and Lucas(i) for i into the hundreds of thousands.
For example, Fib(10000) has 2090 digits and should take up to 2 seconds to compute and output all 2090 digits
on a modern desktop or laptop
but took 17 seconds on my iPad (3rd gen).
First the Calculator computes how many digits your Fibonacci or Lucas number will have and, if it is
more than - which means i≥
- you will
be asked if you want to continue or you can then cancel the computation.
Immediate result of up to 16 significant figures. The length of the answer (number of significant figures)
decreases as i gets very large,
but the index i itself may have up to
when the number of significant figures is about 1 but the number of digits is still shown.
Type in a whole number value for i, which can be negative except for Rabbit(i), in the From i= box.
If you want to find all the values in a certain range, type a value in the To i= box also.
Select an action:
outputs the numbers in the selected series for i in the chosen range.
Benford's Law relates to the distribution of the initial digits of
Fibonacci and Lucas numbers. (Precision buttons are ignored.)
produces a correct, random expression involving two nth-roots
either whose sum is 1 or are equal, as mentioned on The Lucas numbers page.
clears the RESULTS output area.