The Encyclopedia entry at http://oeis.org/A008292 is already well-informed here: Comment from Stefano Zunino, Oct 25 2006: T(n,k)/n! also represents the n-dimensional volume of the portion of the n-dimensional hyper-cube cut by the (n-1)-dimensional hyperplanes x_1 + x_2 + ... x_n = k, x_1 + x_2 + ... x_n = k-1; or, equivalently, it represents the probability that the sum of n independent random variables with uniform distribution between 0 and 1 is between k-1 and k. --Michael On Mon, Sep 3, 2012 at 10:54 AM, Joerg Arndt <arndt@jjj.de> wrote:
* Michael Kleber <michael.kleber@gmail.com> [Sep 03. 2012 16:48]:
Check out A008292, the Eulerian numbers. You'll need to divide by n!. (Oh, you asked for <=k, so you'll want their partial sums -- looks like that's A179457.)
Exercise: explain why :-)
--Michael [...]
Exercise 2: If the corresponding comment is missing in the OEIS, enter it.
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
-- Forewarned is worth an octopus in the bush.