f(x) = g(x) + g(x+1) ------ f(x) is known, g(x)=?

From: denoxis (google_at_deniznet.com)
Date: 02/28/05 

Date: 28 Feb 2005 10:42:48 -0800

Hi,

I was working on a problem and I finally came across this:

f(x) = g(x) + g(x+1)

I know f(x) = (x(x+1)(x+2))/6

Is there any method to find what g(x) could be?

Thanks.