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

This program is written in Go and it implements the Padovan sequence, which is a sequence of numbers where each number is the sum of the previous two numbers, with the first two numbers being 1 and 1.

The program defines a function padovanN that takes two integers as arguments: n is the number of steps in the sequence, and t is the total number of terms to be generated.

The function padovanN creates a slice of integers of length t and initializes it with 1s. Then, for each value of n from 2 to 8, it calls the padovanN function recursively to generate the first n terms of the sequence. For each term i greater than n, it sets the value of p[i] to 0 and then loops through the previous n terms, adding their values to p[i].

Finally, the function returns the slice p.

The main function calls the padovanN function for each value of n from 2 to 8 and prints the first t terms of the sequence.

Here is an example of the output of the program:

First 15 terms of the Padovan n-step number sequences:
2:   1
3:   1
4:   1
5:   2
6:   2
7:   3
8:   4

package main

import "fmt"

func padovanN(n, t int) []int {
    if n < 2 || t < 3 {
        ones := make([]int, t)
        for i := 0; i < t; i++ {
            ones[i] = 1
        }
        return ones
    }
    p := padovanN(n-1, t)
    for i := n + 1; i < t; i++ {
        p[i] = 0
        for j := i - 2; j >= i-n-1; j-- {
            p[i] += p[j]
        }
    }
    return p
}

func main() {
    t := 15
    fmt.Println("First", t, "terms of the Padovan n-step number sequences:")
    for n := 2; n <= 8; n++ {
        fmt.Printf("%d: %3d\n", n, padovanN(n, t))
    }
}