nth_fibonacci.md

Function to find Nth fibonacci

Description:

Function to find the sequence value of the Nth fibonacci number.

References:

• link1

Code:

pine version=4

//-----------------
//  Binet's Formula to solve the Nth Fibonacci Number
//  pine version=4
f_n_fib(_step) =>
    float _phi = 1.618
    float _n_phi = 1/_phi
    int _return = round(abs(_step >= 0 ? pow(_phi, _step) / sqrt(5.0) : pow(-_n_phi, _step) / sqrt(5)))
    _return
//-----------------

pine version=2

//-----------------
//  Binet's Formula to solve the Nth Fibonacci Number
//  pine version=2
f_n_fib(_step) =>
		_phi = 1.618
		_n_phi = 1/_phi
		_return = round(_step >= 0 ? pow(_phi, _step) / sqrt(5) : pow(-_n_phi, _step) / sqrt(5))
//-----------------

Example:

Find the input index value in the fibonacci sequence,
00 01 02 03 04 05 06 07 08 09 [10] 11 ...
00 01 01 02 03 05 08 13 21 34 [55] 89 ...

Example Code

//@version=4
study("Function - Nth Fibonacci Number")

//-----------------
//Binet's Formula to solve the Nth Fibonacci Number
f_n_fib(_step) =>
    float _phi = 1.618
    float _n_phi = 1/_phi
    int _return = round(abs(_step >= 0 ? pow(_phi, _step) / sqrt(5.0) : pow(-_n_phi, _step) / sqrt(5)))
    _return
//-----------------

var int step = 1
if bar_index >= f_n_fib(step)
    step := step + 1
int current_fib = f_n_fib(step)

int index = input(10)
int manual_example = f_n_fib(index)

plot(series=current_fib, title='Fib Time Number', color=color.black)
plot(series=bar_index, title='Time', color=color.blue)
plot(series=manual_example, title='example', color=color.red)

Code Author(s):

• Ricardo Santos

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