How to resolve the algorithm Fibonacci n-step number sequences step by step in the AutoHotkey programming language

Published on 12 May 2024 09:40 PM
#Autohotkey

How to resolve the algorithm Fibonacci n-step number sequences step by step in the AutoHotkey programming language

Table of Contents

Problem Statement

These number series are an expansion of the ordinary Fibonacci sequence where: For small values of

n

{\displaystyle n}

, Greek numeric prefixes are sometimes used to individually name each series. Allied sequences can be generated where the initial values are changed:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Fibonacci n-step number sequences step by step in the AutoHotkey programming language

Source code in the autohotkey programming language

for i, seq in ["nacci", "lucas"]
    Loop, 9 {
        Out .= seq "(" A_Index + 1 "): "
        for key, val in NStepSequence(i, 1, A_Index + 1, 15)
            Out .= val (A_Index = 15 ? "`n" : "`, ")
    }
MsgBox, % Out
 
NStepSequence(v1, v2, n, k) {
    a := [v1, v2]
    Loop, % k - 2 {
        a[j := A_Index + 2] := 0
        Loop, % j < n + 2 ? j - 1 : n
            a[j] += a[j - A_Index]
    }
    return, a
}

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