Strange ArrayIndexOutOfBoundsException in android.support.v4.app.ActivityCompat.OnRequestPermissionsResultCallback

Documentation about permissions says

If request is cancelled, the result arrays are empty.

And it seems to be your situation, so you have to check first if the array is not empty:

@Override
public void onRequestPermissionsResult(int requestCode, String[] permissions, int[] grantResults) {
    switch (requestCode) {
        case REQUEST_CODE_ASK_LOCATION_PERMISSIONS:
            if (grantResults.length > 0 && grantResults[0] == PackageManager.PERMISSION_GRANTED) {
                // Permission Granted
                if (ContextCompat.checkSelfPermission(this, Manifest.permission.ACCESS_FINE_LOCATION) == PackageManager.PERMISSION_GRANTED) {
                    mLastLocation = LocationServices.FusedLocationApi.getLastLocation(mGoogleApiClient);
                }
                startLocationUpdates();
            } else {
                // Permission Denied
            }
            break;
        default:
            super.onRequestPermissionsResult(requestCode, permissions, grantResults);
    }
}