1. Background
The purpose of this
article is to describe how to generate Fibonacci series in SQL Server. As per
the definition of Fibonacci series, first two numbers are 0 and 1 and each
subsequent number is the sum of previous two numbers in the series.
Fibonacci series: 0,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597.
Following are the places where we can utilize Fibonacci series:
Fibonacci series: 0,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597.
Following are the places where we can utilize Fibonacci series:
·
MERGE sort
·
Search Algorithms
·
Network Topology
·
Lossy compression in Data encoding, Streaming
Media, and internet telephony.
2. Script to generate Fibonacci Series in
SQL Server:
We are using WHILE loop and COALESCE function for generating the
Fibonacci series. After providing 0 and 1 as Initial values, we are generating
series as per logic of Fibonacci series. COALESCE function is used to convert
the rows data into comma separated Fibonacci Series. Below is the T-SQL script:
/* Declaring variables */
DECLARE
@F0 INT,
@F1 INT,
@LIMIT INT
,
@Fibonacci_Number NVARCHAR(MAX),
@Fibonacci_Series NVARCHAR(MAX)
/* Setting the inital value of Fibonacci Series */
SET @F0 = 0
SET
@F1 = 1
/* Set the limit for series*/
SET
@LIMIT = 1000
/* Declaring table variable to save Fibonacci numbers as rows
*/
DECLARE
@Fibonacci_Table TABLE
(ID
INT)
/* Inserting Initial value 0 for Fibonanci Series*/
INSERT INTO @Fibonacci_Table
SELECT 0
/* Starting Loop to generate Fibonancci series*/
WHILE
@LIMIT >= @F1
BEGIN
/* applying
logic of Fibonancci series F= A+B */
SET
@Fibonacci_Number = @F0 + @F1
/* Inserting the
resultant number*/
INSERT INTO @Fibonacci_Table
SELECT
@Fibonacci_Number
/*Assigning
value A<=B */
SET @F0 = @F1
SET @F1 = @Fibonacci_Number
END
/* Converting Table's row into comma separated string */
SELECT
@Fibonacci_Series = COALESCE (@Fibonacci_Series,'') + CAST (ID AS VARCHAR (50)) +','
FROM
@Fibonacci_Table
/*Getting Fibonancci Series*/
SELECT
@Fibonacci_Series As Fibonacci_Series
Output:
![](data:image/png;base64,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)
3. Conclusion
By using above steps, we can generate the
Fibonacci Series in SQL Server.
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