function sequence(LENGTH, NUMBER_OF_PREV_ELEMENTS_ADDED) {
    let arr = [];
    for (let ELEMENT = 0; ELEMENT < LENGTH; ELEMENT++) { arr[ELEMENT] = parseInt(0); } arr[0] = 1; // make every element 0 except 1
    //---------------------------
    let CURRENT_ELEMENT = 0; // the currently selected element
    let PREVIOUS_SELECTED_ELEMENT = -1; // the selected element of the previous elements
    let TOTAL_ADDED_ELEMENTS = 0; // counting for previous elements to be added
    //---------------------------
    while (CURRENT_ELEMENT < LENGTH) {
        //---------------------------
        while (TOTAL_ADDED_ELEMENTS <= NUMBER_OF_PREV_ELEMENTS_ADDED) {

            if (PREVIOUS_SELECTED_ELEMENT < 0) { break; }
            arr[CURRENT_ELEMENT] += arr[PREVIOUS_SELECTED_ELEMENT];
            TOTAL_ADDED_ELEMENTS++;
            PREVIOUS_SELECTED_ELEMENT--;
        }
        //---------------------------
        CURRENT_ELEMENT++; // the current element from which we count backward;
        TOTAL_ADDED_ELEMENTS = 0; // reset counting for previous elements to be added;
        PREVIOUS_SELECTED_ELEMENT = CURRENT_ELEMENT; // reset previous element;
    }




}