How to resolve the algorithm Riordan numbers step by step in the SETL programming language

Published on 12 May 2024 09:40 PM
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How to resolve the algorithm Riordan numbers step by step in the SETL programming language

Table of Contents

Problem Statement

Riordan numbers show up in several places in set theory. They are closely related to Motzkin numbers, and may be used to derive them. Riordan numbers comprise the sequence a where: There are other generating functions, and you are free to use one most convenient for your language.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Riordan numbers step by step in the SETL programming language

Source code in the setl programming language

program riordan;
    a := {[0, 1], [1, 0]};

    loop for n in [2..9999] do
        a(n) := (n-1)*(2*a(n-1) + 3*a(n-2)) div (n+1);
    end loop;

    loop for n in [0..31] do
        putchar(lpad(str a(n), 15));
        if n mod 4=3 then print; end if;
    end loop;

    loop for n in [999, 9999] do
        print("The", str (n+1)+"th Riordan number has", #str a(n), "digits.");
    end loop;
end program;

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