After publishing a new post on your blogger blog you can ping and send the notification to search engines that you have updated the blog recently. This can be done by pinging your XML sitemap to search engines.
To get your XML sitemap of your blogger blog simply type
http://YourWebsite.blogspot.com/sitemap.xml
Replace YourWebsite with you blog name.
Ping Your Sitemap To Google
Once you have sitemap of your blogger blog then it is easy to ping every time you update the blog. To do this just paste the below URL link in the address bar and click enter.
Google ping URL is:
http://www.google.com/webmasters/sitemaps/ping?sitemap=http://YourWebsite.com/sitemap.xml
replace YourWebsite with you blog name. for example see the Google ping url of my blog as below
http://www.google.com/webmasters/sitemaps/ping?sitemap=http://nazgoz.blogspot.com/sitemap.xml
After submitting to Google you will get the following message
Similar way you can submit the sitemap to other search engines.
The Yahoo ping URl is - http://siteexplorer.search.yahoo.com/submit
The Bing ping URL is -
http://www.bing.com/webmaster/ping.aspx?siteMap=http://YourRSSFeedURL.com
For example my Bing ping url is