(mostly raw notes, not fully tested, proofed)
It's nice to have a search box on your typepad based blog. These notes were assembled from the TypePad help posts and some of our own notes.
Step 1: TypePad FAQ: Adding Custom Content and HTML in Your Sidebar (AKA: a sidebar Notes TypeList)
Step 1.a: Creating a new TypeList
Step 1.b: Adding an item to a TypeList and possibly give it a blank name (to avoid having too many labels around the search form)
Step 2: TypePad FAQ: Adding Google Search to your Weblog (via a "Notes TypeList")
Step 2.a: add in the HTML
Step 2.b: CHANGE DOMAIN name in THREE places
Step 2.c: maybe change radio buttons to single hidden field just pointing to your domain
Step 2.d: maybe comment out div tag with white background and big google logo
Step 2.e: maybe change text of button
Step 2.f: maybe add target="_new" to <form> tag
(other tweaks to HTML form)
Step 2.f: Go ahead and accept the offer "The first item has been added to your new list. Would you like to publish this list on a weblog or your About Page?" (Publish)
Step 3.a: do it... see above. FAQ is out of date, it's in the right column under "TypeLists", and may already be checked / enabled by default.
Step 3.b: May need to Adjust the Ordering (placement) of the Content
Step 3.c: May need to adjust the width (near the bottom of Step 2's link)
Step 3.d: may need to adjust names of forms, typelists, etc.
(held as a draft pending actual testing)