Re: series summation

In article <20050727091708.283$OB@xxxxxxxxxxxxxx>, DWCantrell@xxxxxxxxxxx
says...
> Norman B. Grover <norman@xxxxxxxxxxxxx> wrote:
> > Consider the following series:
> > S(n)=1*1/2+2*2/4+3*3/8+4*4/16+5*5/32+... +n*n/2^n. Does anyone know what
> > S(n) evaluates to
>
> S(n) = 6 - (n^2 + 4*n + 6)/2^n
>
> > or whether S(infinity) even exists?
>
> S(infinity) = 6
>
> David
>
> > I couldn't find it
> > in Jolley and don't know where else to look.
>
Thank you very much. Did I overlook it in Jolley or do you have a
better source?
--

Norman B. Grover
Jerusalem, Israel
.

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