Edit in JSFiddle

$('#btn').click(function()  {
var rnd='digg-widget-'+Math.floor(Math.random()*10000).toString();
var ctrl = document.getElementById('digg');
ctrl.innerHTML ='<div id="'+rnd.toString() + '"></div>';
var q = document.getElementById('txt').value.toString();
    var diggWidget = {
        id: rnd.toString(),
        layout: 1,
        colors: {
            hdrBg: "#1b5790",
            hdrTxt: "#b3daff",
            tabBg: "#4684be",
            tabTxt: "#b3daff",
            tabOnTxt: "#d41717",
            bdyBg: "#fff",
            stryBrdr: "#ddd",
            lnk: "#105cb6",
            descTxt: "#999999",
            subHd: "#999999"
        },
        title: q,
        width: 300,
        requests: [],
        hide: {}
    };    
    diggWidget.requests.push({
            t: q,
            p: {
                count: "10",
                method: "search.stories",
                query: q,
                sort: "promote_date-desc",
                container: ""
            }
        });    
    if (window.DiggWidget) {
        if (typeof DiggWidget == 'function') {
            new DiggWidget(diggWidget);
        } else {
            DiggWidget.push(diggWidget);
        }
    } else {
        DiggWidget = [diggWidget];       
    }
});

<input type="text" id="txt"/>
<input type="button" id="btn" value="OK"/>
<div id="digg">
</div>