http://www.mapleprimes.com/questions/137736-Sum0-But-Add-Gives-The-Correct-Answer en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Sat, 13 Jun 2026 18:20:31 GMT Sat, 13 Jun 2026 18:20:31 GMT The latest answers and comments added to the Question, sum(...)=0 but add(...) gives the correct answer http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/137736-Sum0-But-Add-Gives-The-Correct-Answer http://www.mapleprimes.com/questions/137736-Sum0-But-Add-Gives-The-Correct-Answer?ref=Feed:MaplePrimes:sum(...)=0 but add(...) gives the correct answer:Comments#answer137870 <p>I tried running your code in Maple 16 and did get a different result, see below. Is this the result you were expecting? If not, which part of the solution is wrong?</p> <p>t(1,1);<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5 <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; --<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 32</p> <p><br>sum(binomial(r,c) * binomial(2*k+1-r, a-c) * binomial(2*k+1-r, b-c), c=0..r);</p> <p><br>binomial(2 k + 1 - r, a) binomial(2 k + 1 - r, b) hypergeom([-r, -a, -b], [2 k + 2 - r - a, 2 k + 2 - r - b], -1) -- binomial(r, r + 1) binomial(2 k + 1 - r, a - r - 1) binomial(2 k + 1 - r, b - r - 1) hypergeom([1, 1, -a + 1 + r, -b + 1 + r], [r + 2, 2 k + 3 - b, 2 k + 3 - a], -1)<br><br></p> <p>I tried running your code in Maple 16 and did get a different result, see below. Is this the result you were expecting? If not, which part of the solution is wrong?</p> <p>t(1,1);<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 5 <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; --<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 32</p> <p><br>sum(binomial(r,c) * binomial(2*k+1-r, a-c) * binomial(2*k+1-r, b-c), c=0..r);</p> <p><br>binomial(2 k + 1 - r, a) binomial(2 k + 1 - r, b) hypergeom([-r, -a, -b], [2 k + 2 - r - a, 2 k + 2 - r - b], -1) -- binomial(r, r + 1) binomial(2 k + 1 - r, a - r - 1) binomial(2 k + 1 - r, b - r - 1) hypergeom([1, 1, -a + 1 + r, -b + 1 + r], [r + 2, 2 k + 3 - b, 2 k + 3 - a], -1)<br><br></p> 137870 Mon, 01 Oct 2012 17:58:27 Z Skoog Skoog