How to resolve the algorithm Padovan n-step number sequences step by step in the F# programming language

Published on 12 May 2024 09:40 PM
#F_Sharp

How to resolve the algorithm Padovan n-step number sequences step by step in the F# programming language

Table of Contents

Problem Statement

As the Fibonacci sequence expands to the Fibonacci n-step number sequences; We similarly expand the Padovan sequence to form these Padovan n-step number sequences. The Fibonacci-like sequences can be defined like this: For this task we similarly define terms of the first 2..n-step Padovan sequences as: The initial values of the sequences are:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Padovan n-step number sequences step by step in the F# programming language

Source code in the fsharp programming language

// Padovan n-step number sequences. Nigel Galloway: July 28th., 2021
let rec pad=function 2->Seq.unfold(fun(n:int[])->Some(n.[0],Array.append n.[1..2] [|Array.sum n.[0..1]|]))[|1;1;1|]
                    |g->Seq.unfold(fun(n:int[])->Some(n.[0],Array.append n.[1..g] [|Array.sum n.[0..g-1]|]))(Array.ofSeq(pad(g-1)|>Seq.take(g+1)))
[2..8]|>List.iter(fun n->pad n|>Seq.take 15|>Seq.iter(printf "%d "); printfn "")

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