Timeline for Show that this ratio of factorials is always an integer
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| May 11, 2013 at 14:15 | comment | added | Yuichiro Fujiwara | @Barry: Thanks for the correction and links! | |
| May 11, 2013 at 13:41 | history | edited | Yuichiro Fujiwara | CC BY-SA 3.0 |
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| May 11, 2013 at 13:01 | comment | added | Barry Cipra | Note: I found the reference to Catalan's correction in the bibliography of Bell and Catalan numbers compiled by Gould and Glatzer at math.wvu.edu/~gould/BibGood%20final.pdf | |
| May 11, 2013 at 12:57 | comment | added | Barry Cipra | ...A solution to Catalan's question is given by Bourguet at archive.numdam.org/ARCHIVE/NAM/NAM_1875_2_14_/… who proves a more general form, but Catalan points out an error at archive.numdam.org/ARCHIVE/NAM/NAM_1875_2_14_/… | |
| May 11, 2013 at 12:57 | comment | added | Barry Cipra | The Catalan reference can be found at archive.numdam.org/ARCHIVE/NAM/NAM_1874_2_13_/… -- it's not really a paper, it's presented as a problem (with a footnote that I haven't been able to trace). Gessel and Xin only say the result was "observed" there.... | |
| May 11, 2013 at 8:20 | comment | added | karan | cs.uwaterloo.ca/journals/JIS/VOL8/Callan/callan301.pdf does give a recurrence relation to show it's an integer, but it's still way too complicated | |
| May 11, 2013 at 8:18 | vote | accept | karan | ||
| May 11, 2013 at 8:03 | comment | added | karan | It's both comforting (given the effort spent) and unsettling to know that there's no simple combinatorial interpretation known, but I wonder what they refer to when they say "It is well know they are integers". | |
| May 11, 2013 at 7:48 | history | edited | Yuichiro Fujiwara | CC BY-SA 3.0 |
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| May 11, 2013 at 7:37 | history | answered | Yuichiro Fujiwara | CC BY-SA 3.0 |