Fibonacci numbers in SQL
Example for versions
Microsoft SQL Server 2005,
Microsoft SQL Server 2008 R2,
Microsoft SQL Server 2012
This example uses a kind of iterative definition of Fibonacci numbers, implemented with a recursive query. Each row of recursive query contains two consecutive numbers of the sequence, and next row is calculated as (last number, sum of numbers) of previous row. This way most numbers are stored twice, so only first number of each row is included in the result.
with fibonacci(a, b) as
(
select 1, 1
union all
select b, a+b from fibonacci where b < 1000
)
SELECT cast(a as varchar)+', ' AS [text()]
FROM fibonacci
FOR XML PATH ('')
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