Insert a range of numbers from a call to sp_sequence_get_range Given the following code:

CREATE SEQUENCE dbo.NextTestId AS [bigint]
 START WITH 10 INCREMENT BY 2 NO CACHE 
GO

DECLARE  
  @variableNumberOfIdsNeeded INT = 7, -- This will change for each call
  @FirstSeqNum SQL_VARIANT , @LastSeqNum sql_variant, @SeqIncr sql_variant;  

EXEC sys.sp_sequence_get_range @sequence_name = N'dbo.NextTestId', 
            @range_size = @variableNumberOfIdsNeeded, 
            @range_first_value = @FirstSeqNum OUTPUT, 
            @range_last_value = @LastSeqNum OUTPUT, 
            @sequence_increment = @SeqIncr OUTPUT;

-- The following statement returns the output values
SELECT @FirstSeqNum AS FirstVal, @LastSeqNum AS LastVal, @SeqIncr AS SeqIncrement;


I get a result like this:

FirstVal    LastVal    SeqIncrement 
-------     -------    -------------- 
38          50         2


I would like to have a set based way to take these results and insert each value (skipping by SeqIncrement) into this table:

DECLARE @newIds TABLE (IdType VARCHAR(100), [NewId] BIGINT)


So when I am done, a SELECT * from @newIds would return:

IdType    NewId
-------   -------
TestId    38
TestId    40
TestId    42
TestId    44
TestId    46
TestId    48
TestId    50


NOTE: I don't want to use a loop if possible.  Also, I will need to get a variable amount of results (this one shows 7, but it will change each call).

I think there may be a cross apply or some such thing that can do this.  But I can't seem to figure it.
This should be good up to about 2,500 values (depending on version):

;WITH x(n) AS 
(
  SELECT TOP (@variableNumberOfIdsNeeded)
    (ROW_NUMBER() OVER (ORDER BY number)-1) 
    * CONVERT(BIGINT, @SeqIncr)
    + CONVERT(BIGINT, @FirstSeqNum)
  FROM master.dbo.spt_values
  ORDER BY number
)
--INSERT @newIds([NewId]) 
SELECT n FROM x;


If you need more, or are worried about using the view master.dbo.spt_values, see other possible techniques for generating sets without looping here:


Generate a set or sequence without loops – part 1
Generate a set or sequence without loops – part 2
Generate a set or sequence without loops – part 3