To be triggered on form post in a Google Spreadsheet. This simple function will copy calculations from an early row to the rest of the rows (including the blank row that was newly inserted by the form post).

continueFormulas.js

// How I had it as of this morning, 8/20/2013

var _inputSheet;
function inputSheet() {
  return _inputSheet || (
    _inputSheet = SpreadsheetApp.getActiveSpreadsheet().getSheetByName('Input')
  );
}

function continueFormulas() {
  var source_range = inputSheet().getRange("G3:N3");
  var target_range = inputSheet().getRange("G3:N");
  source_range.copyTo(target_range);
}

continueFormulas2.js

// How one might rewrite it to be more direct

function continueFormulas() {
  var sheet = SpreadsheetApp.getActiveSpreadsheet().getSheetByName('Input')
  
  sheet.getRange("G3:N3").copyTo(sheet.getRange("G3:N"));
}

One note on this: I believe you could do some magic to avoid code altogether with something like the arrayFormula function in Google Spreadsheets. I'm still using this, but I might get rid of it if I can. :)

On second thought: ArrayFormula is a really sweet tool in Google Spreadsheets (I'm not sure if a similar function exists in the established desktop spreadsheet apps). However, I can't figure out how to do running aggregations with it, so I'm going to stick with my App Script hack for now.