local fmt = require "fmt"

local function F(n, x, y)
    if n == 0 then return x + y end
    if y == 0 then return x end
    return F(n - 1, F(n, x, y - 1), F(n, x, y - 1) + y)
end

for n = 0, 1 do
    print($"Values of F({n}, x, y):")
    print("y/x    0   1   2   3   4   5")
    print("----------------------------")
    for y = 0, 6 do
        io.write($"{y}  |")
        for x = 0, 5 do
            local sudan = F(n, x, y)
            fmt.write("%4d", sudan)
        end
        print()
    end
    print()
end
print($"F(2, 1, 1) = {F(2, 1, 1)}")
print($"F(3, 1, 1) = {F(3, 1, 1)}")
print($"F(2, 2, 1) = {F(2, 2, 1)}")