4 ms·
Here is OEIS, a general service for solving these types of puzzles and much more: http://oeis.org/search?q=1%2C+1%2C+28%2C+2%2C+8%2C+6%2C+992%2C+1%2C+3%2C+2%2C+
by conistonwater 11y ago
Here is OEIS, a general service for solving these types of puzzles and much more: http://oeis.org/search?q=1%2C+1%2C+28%2C+2%2C+8%2C+6%2C+992%2C+1%2C+3%2C+2%2C+16256%2C+2%2C+16%2C+16%2C+523264 http://oeis.org/search?q=1%2C+1%2C+28%2C+2%2C+8%2C+6%2C+992%... You can always just look it up.
Also, correction: this is a number of classes of oriented differentiable structures on N-spheres, not just "in N dimensions".
- wolfgke 11y agoWhen I look at this sequence I see that for from 7 on, there seem nearly always exist more than one class of oriented differentiable structures on N-spheres, except for (up to 63) for 12 and 61. Does anybody know what makes the dimensions 12 and 61 so special here?
- GFK_of_xmaspast 11y agoThat looks to be addressed here: http://www.ams.org/notices/201106/rtx110600804p.pdf http://www.ams.org/notices/201106/rtx110600804p.pdf
- evanpw 11y agoAccording to this paper (http://arxiv.org/pdf/1601.02184v1.pdf http://arxiv.org/pdf/1601.02184v1.pdf), the entry for n=56 should also be one. Apparently, these values come from a computer-assisted calculation from 1990, and the error wasn't discovered until 2014.