Example of turing the script from this tutorial https://youtu.be/uOQ-CPcaqMo into a simple add-on

add_ico_spheres_in_a_circle_add_on.py

"""
Example of turing the script from this tutorial 
https://youtu.be/uOQ-CPcaqMo
into a simple add-on.

This code is based on the addon_add_object.py Python template distributed with BLender under the GNU GPL license.
An explanation of this script can be found in this tutorial: https://youtu.be/x3QRp2k013k
"""

bl_info = {
    "name": "New Ico Spheres in a circle",
    "author": "Your Name Here",
    "version": (1, 0),
    "blender": (2, 80, 0),
    "location": "View3D > Add > Mesh > New Object",
    "description": "Adds Add Ico Spheres in a circle",
    "warning": "",
    "doc_url": "",
    "category": "Add Mesh",
}


# give Python access to Blender's functionality
import bpy

from bpy.types import Operator
from bpy.props import IntProperty

# extend Python's math functionality
import math


def add_ico_spheres(self):
    angle_step = math.tau /  self.ico_count
    radius = 2

    # create a list of vert coordinates
    vert_coordinates = list()

    # repeat code in a loop
    for i in range(self.ico_count):

        # calculate current current_angle
        current_angle = angle_step * i

        # calculate coordinate
        x = radius * math.cos(current_angle)
        y = radius * math.sin(current_angle)

        # visualize what we are doing
        bpy.ops.mesh.primitive_ico_sphere_add(radius=0.05, location=(x, y, 0))

        # add current coordinate to list
        vert_coordinates.append((x, y, 0))


class MESH_OT_add_object(Operator):
    """Add Ico Spheres in a circle"""
    bl_idname = "mesh.add_ico_spheres_in_a_circle"
    bl_label = "Add Ico Spheres in a circle"
    bl_options = {'REGISTER', 'UNDO'}

    ico_count: IntProperty(
        name="Ico Sphere count",
        default=32,
        min=1,
        description="The number of Ico Spheres",
    )

    def execute(self, context):
        add_ico_spheres(self)
        return {'FINISHED'}


# Registration

def add_object_button(self, context):
    self.layout.operator(
        MESH_OT_add_object.bl_idname,
        text="Add Ico Spheres in a circle",
        icon='PLUGIN')


def register():
    bpy.utils.register_class(MESH_OT_add_object)
    bpy.types.VIEW3D_MT_mesh_add.append(add_object_button)


def unregister():
    bpy.utils.unregister_class(MESH_OT_add_object)
    bpy.types.VIEW3D_MT_mesh_add.remove(add_object_button)


if __name__ == "__main__":
    register()