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S May 25, 2016 at 19:52 history suggested Tom Church CC BY-SA 3.0
fix broken links to Knuth's webpage + program
May 25, 2016 at 19:42 comment added Tom Church The WEB program is now at this link: cs.stanford.edu/~knuth/programs/setset-all.w
May 25, 2016 at 19:42 review Suggested edits
S May 25, 2016 at 19:52
Nov 7, 2012 at 16:06 comment added joriki @Daniel: I think it means the number of equivalence classes under symmetry operations. I think it's all explained in the WEB program.
Nov 7, 2012 at 15:30 comment added Daniel Of course - sorry for not noticing the integers ;). So now I'm completely answered except for the closed form, which appears to be next to impossible to find. Also, what does the list of "cases" e.g. (2489 cases) etc. mean?
Sep 30, 2012 at 13:30 comment added joriki @Daniel: I suspect that Knuth put some thought into finding a closed form before he went to all that trouble to write and debug those programs, so if there is a closed form it's probably hard to find. I don't quite understand your question about fractions -- I quoted the output of the program verbatim; the results are counts of combinations and hence integers, so I don't see how fractions enter into it. In case you meant the numbers in the table; those are not output by the program; I generated them by dividing by $\binom{81}n$, and you can express that division in fractions if you prefer.
Sep 28, 2012 at 18:06 comment added Daniel I wonder if there is a closed function to describe these values given n=number of cards. Also, can the program output fractions? (I accepted this answer since it gives the values I was after.)
Sep 28, 2012 at 18:04 vote accept Daniel
Sep 27, 2012 at 0:14 history answered joriki CC BY-SA 3.0