Find a formula to calculate G(n) and it should be a polynomial of degree 4.(adsbygoogle = window.adsbygoogle || []).push({});

G(n) = 1/6(0)(0-1)(0-2) + 1/6(1)(1-1)(1-2)+...+1/6(n-1)(n-2)(n-3)

I know

G(0)=G(1)=G(2)=G(3)=0

G(4)=1

G(5)=1+3

G(6)=1+3+6

G(7)=1+2+3+10

G(8)=1+3+6+10+15 (sum of triangle numbers)

What should I do to find out the forumla? I think it is some kind of interpolation formula.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Interpolation forumula

**Physics Forums | Science Articles, Homework Help, Discussion**