Thank you Mr.Ron. It worked like a champ. I just had it tweeked a little bit to suit my requirement. Yes. It is indeed an odd requirement to store a comboYear String.
DECLARE @BegYr INT = 2013
DECLARE @EndYr INT = 2015
DECLARE @Diff INT
SELECT @diff = @EndYr - @BegYr
DECLARE @E INT
DECLARE @a VARCHAR(10)
DECLARE @Z VARCHAR(10)
SET @E = @BegYr
IF @Diff = 3
BEGIN
SET @Z = (SELECT SUBSTRING(CAST(@E AS VARCHAR(4)),LEN(CAST(@E AS VARCHAR(4))),LEN(CAST(@E AS VARCHAR(4)))))
WHILE @E < @EndYr
BEGIN
SET @E = @E + 1
SET @a = (SELECT '/' + SUBSTRING(CAST(@E AS VARCHAR(4)),LEN(CAST(@E AS VARCHAR(4))),LEN(CAST(@E AS VARCHAR(4)))))
SET @Z = @Z + @a
END
SELECT @Z
END
ELSE
BEGIN
SET @a = (SELECT SUBSTRING(CAST(@BegYR AS VARCHAR(4)), 4, 1) + '/' + SUBSTRING(CAST(@EndYR AS VARCHAR(4)), 4, 1))
Select @a
END