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## Main Question or Discussion Point

f(n)=(1/2)f(n+1)+(1/2)f(n-1)-1

I got f(n)=n^2.

I can not find anymore solution except this.

I just wonder there are some more solutions about this problem or not.

I think there are more, but I don't know how to get to them.

I wanna hear your opinion.

Thanks

I got f(n)=n^2.

I can not find anymore solution except this.

I just wonder there are some more solutions about this problem or not.

I think there are more, but I don't know how to get to them.

I wanna hear your opinion.

Thanks