Edit in JSFiddle

var calc = function() {
    var memo = [0, 1];
    var fibo = function(val) {
        if ($.isNumeric(val)) {
            val = parseInt(val);
            if (val < 0) {
                return "invalid value";
            }
            var result = memo[val];
            if ($.isNumeric(result)) {
                return result;
            } else {
                result = fibo(val - 1) + fibo(val - 2);
                memo[val] = result;
                return result;
            }
        }
        return "value passed is not valid";
    };

    return {
        fibo: fibo,
        memo: memo
    };
}();

$("#btnFibonacci").click(function() {
    calc.fibo($("#ip").val());
    $("#output").html('');
    $.each(calc.memo, function(idx, item) {
        $("#output").append(item + " ");
    });
});

<input type="textbox" id="ip"/> <br/>
<input type="button" id="btnFibonacci" value="Fibonacci"/> <br/>
<div id="output"></div>

input, div { margin: 10px}