在C++中，Motzkin数

开发运维 2023-08-27 Escape 手机阅读

在C++中，Motzkin数

The Motzkin number series starts with 1, 1, 4, 9, etc.., We can get the generalised nth term with the sequence. The Motzkin number sequence is as follows.

a0 = 1

a1 = 1

a2 = 4

a3 = 9

an = ((2 * n + 1)/ n + 2) * M(n-1) +((3 * n - 3)/ n + 2) * M(n - 2)

Algorithm

  • Initialise the number n.

  • Iterate till n.

    • Update the previous two numbers

  • Return the last number.