Module:Collatz sequence Generator

--{{#invoke:Sandbox/R1F4T|collatz|10}}

--this module generates the collatz sequence 


local p = {}

function p.collatz(frame)
    local n = tonumber(frame.args[1])  -- Get the input number
    if not n or n < 1 then
        return "Please provide a positive integer."
    end

    -- Get bold settings from parameters
    local odd_bold = frame.args["odd-bold"] == "yes"
    local even_bold = frame.args["even-bold"] == "yes"

    local sequence = {}

    -- Helper function to format each number based on its parity
    local function format_number(num)
        if num % 2 == 0 and even_bold then
            return "'''"..num.."'''"
        elseif num % 2 ~= 0 and odd_bold then
            return "'''"..num.."'''"
        else
            return tostring(num)
        end
    end

    -- Add the first number, bold if necessary
    table.insert(sequence, format_number(n))

    -- Generate the rest of the sequence
    while n > 1 do
        if n % 2 == 0 then
            n = n / 2
        else
            n = 3 * n + 1
        end
        table.insert(sequence, "&#8594; " .. format_number(n))  -- Add arrow and formatted number
    end

    return table.concat(sequence, " ")  -- Return the formatted sequence
end

return p