MaplePrimes - comments on Post, A110375

MaplePrimes - comments on Post, A110375 http://www.mapleprimes.com/posts/39381-A110375 en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Wed, 10 Jun 2026 18:59:39 GMT Wed, 10 Jun 2026 18:59:39 GMT The latest comments added to the Post, A110375 http://www.mapleprimes.com/images/mapleprimeswhite.jpg MaplePrimes - comments on Post, A110375 http://www.mapleprimes.com/posts/39381-A110375 In Maple 12 http://www.mapleprimes.com/posts/39381-A110375?ref=Feed:MaplePrimes:A110375:Comments#comment71739 <pre> combinat[numbpart](11269);</pre> gives the same answer as Maple 11. The latest comments added to the Post, A110375 71739 Wed, 14 May 2008 03:29:53 Z jakubi jakubi Maple 11 and 12 http://www.mapleprimes.com/posts/39381-A110375?ref=Feed:MaplePrimes:A110375:Comments#comment83573 ... also for the others.  It looks to me like the code for combinat[numbpart] has not changed recently.  The OEIS entry mentions that Maple 6 got these right.  I wonder why the Maple 6 code was changed. The latest comments added to the Post, A110375 83573 Wed, 14 May 2008 04:02:36 Z Robert Israel Robert Israel Timings http://www.mapleprimes.com/posts/39381-A110375?ref=Feed:MaplePrimes:A110375:Comments#comment71735 Also, it is interesting to compare timings. Here is the timing in <a href="http://www.sagemath.org/">SAGE</a>: sage: a=[ 11269, 11566, 12376, 12430, 12700, 12754, 15013, 17589, 17797, 18181, 18421, 18453, 18549, 18597, 18885, 18949, 18997, 101269, 501269 ] sage: time b=[number_of_partitions(n) for n in a] CPU times: user 0.15 s, sys: 0.00 s, total: 0.15 s Wall time: 0.15   Here are the correct last 2 digits for those who is interested, sage: for n in b: print n%100, ....: 50 48 86 95 91 45 81 90 83 54 77 59 0 15 35 0 12 65 25   The last 2 terms which are terms of the sequence, but not necessarily the next terms, were added by Robert Gerbicz. One more timing: sage: time c=number_of_partitions(10^9) CPU times: user 35.38 s, sys: 0.00 s, total: 35.38 s Wall time: 35.38   I wonder how long it would take Maple to calculate that. Alec <a href="http://mihailovs.com/Alec/"> </a> The latest comments added to the Post, A110375 71735 Wed, 14 May 2008 04:51:30 Z alec alec Error http://www.mapleprimes.com/posts/39381-A110375?ref=Feed:MaplePrimes:A110375:Comments#comment93344 I get <pre> combinat[numbpart](11269); Error, (in combinat/numbpart) too many levels of recursion </pre> For several versions of Maple previous to Maple 9 that I have tried. The latest comments added to the Post, A110375 93344 Wed, 14 May 2008 06:58:23 Z jakubi jakubi stack limit http://www.mapleprimes.com/posts/39381-A110375?ref=Feed:MaplePrimes:A110375:Comments#comment93345 In Unix/Linux/OSX the stack limit may need to be increased in the shell from which maple gets run, for this computation to complete. I bumped my shell's stack limit up to 50000 (from 8192) on Solaris and saw combinat[numbpart](11269) come out correct in Maple 8 and incorrect in Maple 9. On 64bit Linux, with a stack limit of 10240, it completed (incorrectly) in Maple 11.02. Of course, you may find that kernelopts(stacklimit) allows you to raise the working limit from within Maple. But that may depend on what the OS's shell's hard limit is. On Windows, it may be trickier, I am not sure. You might try to utilize Maple's -T option, or its equivalent on Windows. I don't remember what hard limit might be compiled into the binaries. (For what it's worth, I do seem to recall that one can actually change the stacklimit built right into a Windows binary executable using MSVC++ tools.) acer The latest comments added to the Post, A110375 93345 Wed, 14 May 2008 07:18:52 Z acer acer Too many levels http://www.mapleprimes.com/posts/39381-A110375?ref=Feed:MaplePrimes:A110375:Comments#comment93346 It seems you can do it gradually, to avoid using too much stack at once. (Maple 6) <pre> > with(combinat):   for j from 1 to 22 do numbpart(j*500) od:   numbpart(11269); </pre> 231139177231303975514411787649455628959060199360109972557851\ 519105155176180318215891795874905318274163248033071850 This is one less than the result returned by Maple 9 to 12. The latest comments added to the Post, A110375 93346 Wed, 14 May 2008 07:25:04 Z Robert Israel Robert Israel