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What is the python code to make multiple float property like in the mapping node?

Use a FloatVectorProperty and set its subtype to 'XYZ' or 'TRANSLATION'.

Currently other available subtypes of that property are: 'COLOR', 'DIRECTION', 'VELOCITY', 'ACCELERATION', 'MATRIX', 'EULER', 'QUATERNION', 'AXISANGLE', 'COLOR_GAMMA', 'LAYER'.

Ripped from: How to create a custom UI?

import bpy

from bpy.props import (FloatVectorProperty,
 PointerProperty
 )

from bpy.types import (Panel,
 PropertyGroup
 )


# ------------------------------------------------------------------------
# Scene Properties
# ------------------------------------------------------------------------

class MyProperties(PropertyGroup):

 my_float_vector: FloatVectorProperty(
 name = "Float Vector Value",
 description="Something",
 default=(0.0, 0.0, 0.0), 
 min= 0.0,
 max = 0.1,
 subtype = 'XYZ'
 # 'COLOR', 'TRANSLATION', 'DIRECTION', 'VELOCITY', 
 # 'ACCELERATION', 'MATRIX', 'EULER', 'QUATERNION', 
 # 'AXISANGLE', 'XYZ', 'COLOR_GAMMA', 'LAYER'
 )

# ------------------------------------------------------------------------
# Panel in Object Mode
# ------------------------------------------------------------------------

class OBJECT_PT_CustomPanel(Panel):
 bl_idname = "object.custom_panel"
 bl_label = "My Panel"
 bl_space_type = "VIEW_3D" 
 bl_region_type = "UI"
 bl_category = "Tools"
 bl_context = "objectmode" 


 @classmethod
 def poll(self,context):
 return context.object is not None

 def draw(self, context):
 layout = self.layout
 scene = context.scene
 mytool = scene.my_tool

 layout.prop(mytool, "my_float_vector", text="")

# ------------------------------------------------------------------------
# Registration
# ------------------------------------------------------------------------

classes = (
 MyProperties,
 OBJECT_PT_CustomPanel
)

def register():
 from bpy.utils import register_class
 for cls in classes:
 register_class(cls)

 bpy.types.Scene.my_tool = PointerProperty(type=MyProperties)

def unregister():
 from bpy.utils import unregister_class
 for cls in reversed(classes):
 unregister_class(cls)
 del bpy.types.Scene.my_tool


if __name__ == "__main__":
 register()

Blender built-in mathutils-Vector

class mathutils.Vector(seq)

This object gives access to Vectors in Blender.

Parameters: seq (sequence of numbers) – Components of the vector, must be a sequence of at least two

mathutils.Vector

Most of the Blender code contain this Vector component for value modification.