I'm using Mathematica 8. When I try the command <pre class="prettyprint"><code>Sum[r^n Floor[n/2], {n, 0, Infinity}] </code></pre> I get <pre class="prettyprint"><code>r^2/((-1 + r)^2 (1 + r)) </code></pre> which is correct, but starting from <code>1</code> instead of <code>0</code>: <pre class="prettyprint"><code>Sum[r^n Floor[n/2], {n, 1, Infinity}] </code></pre> gives <pre class="prettyprint"><code>r/((-1 + r)^2 (1 + r)) </code></pre> which is not. What's going on?

This is a bug. Please submit bug report to WRI (email: support@wolfram.com)

Issue with Sum of Floors in Mathematica

I'm using Mathematica 8. When I try the command

Sum[r^n Floor[n/2], {n, 0, Infinity}]

I get

r^2/((-1 + r)^2 (1 + r))

which is correct, but starting from 1 instead of 0:

Sum[r^n Floor[n/2], {n, 1, Infinity}]

gives

r/((-1 + r)^2 (1 + r))

which is not. What's going on?

273

asked Dec 31 '11 22:12

This is a bug. Please submit bug report to WRI (email: [email protected])

116

answered Oct 13 '22 00:10

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