Javascript Deferred Interval

delayedTimeout.js

var delayedTimeout = function( callback, initialTime, maxTime ) {
  this.currentTime = initialTime;
  this.callback = callback;
  this.maxTime = 0 || maxTime;

  this.nextTick();
}

delayedTimeout.prototype = {
  stop : function () {
    this.stopNext = true;
  },

  nextTick : function() {
    if ( this.stopNext )
      return;

    if ( ! this.previousTime )
      this.previousTime = 0;

    var newTime = this.previousTime + this.currentTime;

    this.previousTime = this.currentTime;
    this.currentTime = newTime;

    if ( newTime > this.maxTime )
      newTime = this.maxTime;

    var that = this;
    this.timeout = setTimeout(function() { that.onTimeout( that ) } , newTime);
  },

  onTimeout : function( ctx ) {
    var that = this;

    if ( ctx )
      that = ctx;

    that.callback();

    that.nextTick();
  }
}

Of course, this sample is intended to be run with nodejs.