There’s a few ways to get your blog indexed quickly.

Shawn Collins has a video talking about this.
https://blog.affiliatetip.com/archives/getting-a-blog-indexed-in-google/

One of the comments includes use of the site Feedage.com:
www.Feedage.com
Apparently if you submit your RSS feed it will be indexed instantly on Google.

I’ll have to try this out with some new blogs.