Sql Server - Split single row in multiple rows based on range

CREATE TABLE Table1 (id int, name varchar(10), start int, [end] int);
GO

INSERT INTO Table1 Values
(13,'sub1', 11, 15),
(15,'sub2', 17, 22),
(19,'sub3', 44, 44);

;WITH CTE 

AS 

(

  select id, name, start, [end] from Table1

  union all

  select id, name, start+1, [end]

  from CTE where [end] > start

)

select id, name, start as 'serial' From CTE order by start option (maxrecursion 0)

id	name	serial
13	sub1	11
13	sub1	12
13	sub1	13
13	sub1	14
13	sub1	15
15	sub2	17
15	sub2	18
15	sub2	19
15	sub2	20
15	sub2	21
15	sub2	22
19	sub3	44