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………………………
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
|
19 235References:https://en.wikipedia.org/wiki/Centered_triangular_number