**Prerequisite **– PL/SQL introduction

In PL/SQL code groups of commands are arranged within a block. A block group related declarations or statements. In declare part, we declare variables and between begin and end part, we perform the operations.

Given n and task is to find nth centered triangular number. A centered triangular number is a centered number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers.**Examples:**

Input: n = 6 Output: 64 Input: n = 10 Output: 166

**The first few centered triangular number** series are:

1, 4, 10, 19, 31, 46, 64, 85, 109, 136, 166, 199, 235, 274, 316, 361, 409, 460………………………

**Approach**

nth Term of centered triangular number is given by:

**Below is the required implementation:**

`--PL/SQL Program to find the nth Centered triangular number ` `-- declaration section ` `DECLARE` ` ` `x NUMBER; ` ` ` `n NUMBER; ` ` ` ` ` `--utility function ` ` ` `FUNCTION` `Centered_triangular_num(n ` `IN` `NUMBER) ` ` ` `RETURN` `NUMBER ` ` ` `IS` ` ` `z NUMBER; ` ` ` `BEGIN` ` ` ` ` `--formula applying ` ` ` `z := (3 * n * n + 3 * n + 2) / 2; ` ` ` `RETURN` `z; ` ` ` `END` `; ` ` ` ` ` `--driver code ` ` ` `BEGIN` ` ` `n := 3; ` ` ` `x := centered_triangular_num(n); ` ` ` `dbms_output.Put_line(x); ` ` ` `n := 12; ` ` ` `x := centered_trigunal_num(n); ` ` ` `dbms_output.Put_line(x); ` ` ` `END` `; ` ` ` `--End of program` |

**Output:**

19 235

**References:**

https://en.wikipedia.org/wiki/Centered_triangular_number

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