2011/01/21 · 19:05
↓ Jump to Comments

1,2,4,8,16,31,57,99,…


another awesome crescent sequence to try its sum-series of reciprocals. Check at A000127 of the Oeis. It has a beautiful connection with the Pascal’s triangle. Its generating function is

\frac{1-3x+4x^2-2x^3+x^4}{(1-x)^5}

What is the g.f. of the reciprocals?regionsSAMSUNG

About these ads

Leave a Comment

Filed under math

Tagged as , , , , ,

Leave a Reply

Fill in your details below or click an icon to log in:

Gravatar
WordPress.com Logo

You are commenting using your WordPress.com account. ( Log Out / Change )

Twitter picture

You are commenting using your Twitter account. ( Log Out / Change )

Facebook photo

You are commenting using your Facebook account. ( Log Out / Change )

Cancel

Connecting to %s