Question

Expression for $\sum\limits_{k=0}^n \frac1{k+1}\left\{ n \atop k\right\}$?

score 329 · Answer 1 · 2012-07-07 12:43:05

329

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Expression for $\sum\limits_{k=0}^n \frac1{k+1}\left\{ n \atop k\right\}$?

Published on 07 Jul 2012 - 12:43

score 223 · Answer 2 · 2012-08-08 23:05:12

223

Views

Proving a statement on the probabilty of "Drawing distinct items"

Published on 08 Aug 2012 - 23:05

score 259 · Answer 3 · 2012-08-09 15:25:25

259

Views

Estimate Stirling numbers from normal distribution?

Published on 09 Aug 2012 - 15:25

score 726 · Answer 4 · 2012-08-19 15:51:27

726

Views

Sum of Stirling numbers of both kinds

Published on 19 Aug 2012 - 15:51

score 311 · Answer 5 · 2012-08-27 09:51:08

311

Views

An inequality involving Stirling numbers of the second kind

Published on 27 Aug 2012 - 9:51

score 3.9k · Answer 6 · 2026-03-27 20:00:52

3.9k

Views

Distribute distinct objects in identical boxes

Published on 27 Mar 2026 - 20:00

score 170 · Answer 7 · 2012-10-02 20:22:04

170

Views

What is the coefficient of $z^k$ in ${z+n-1 \choose n}$ for $1 \leq k \leq n$?

Published on 02 Oct 2012 - 20:22

score 2k · Answer 8 · 2012-11-05 08:20:09

2k

Views

Approximating Stirling's number of the second kind to allow for large inputs

Published on 05 Nov 2012 - 8:20

score 300 · Answer 9 · 2012-12-05 07:57:32

300

Views

Counting ways to distribute $n$ balls into $k$ baskets with the Stirling numbers of the second kind

Published on 05 Dec 2012 - 7:57

score 997 · Answer 10 · 2012-12-05 17:54:28

997

Views

The sum $\sum_{j=0}^n \binom{n}{j} \left\{ j \atop k \right\} x^j$

Published on 05 Dec 2012 - 17:54

score 2.6k · Answer 11 · 2012-12-10 19:53:12

2.6k

Views

Proof by induction for Stirling Numbers

Published on 10 Dec 2012 - 19:53

score 51.9k · Answer 12 · 2012-12-25 00:57:05

51.9k

Views

Calculating the total number of surjective functions

Published on 25 Dec 2012 - 0:57

score 1.4k · Answer 13 · 2013-01-05 23:39:41

1.4k

Views

Proof involving Stirling numbers of the second kind

Published on 05 Jan 2013 - 23:39

score 8.4k · Answer 14 · 2013-01-23 06:04:13

8.4k

Views

Find a closed formula for the stirling number $S(n, n-3)$ for n $\ge$ $3$

Published on 23 Jan 2013 - 6:04

score 1.3k · Answer 15 · 2013-02-06 08:52:08

1.3k

Views

Stirling numbers, binomial coefficients

Published on 06 Feb 2013 - 8:52

List Question

Expression for $\sum\limits_{k=0}^n \frac1{k+1}\left\{ n \atop k\right\}$?

Proving a statement on the probabilty of "Drawing distinct items"

Estimate Stirling numbers from normal distribution?

Sum of Stirling numbers of both kinds

An inequality involving Stirling numbers of the second kind

Distribute distinct objects in identical boxes

What is the coefficient of $z^k$ in ${z+n-1 \choose n}$ for $1 \leq k \leq n$?

Approximating Stirling's number of the second kind to allow for large inputs

Counting ways to distribute $n$ balls into $k$ baskets with the Stirling numbers of the second kind

The sum $\sum_{j=0}^n \binom{n}{j} \left\{ j \atop k \right\} x^j$

Proof by induction for Stirling Numbers

Calculating the total number of surjective functions

Proof involving Stirling numbers of the second kind

Find a closed formula for the stirling number $S(n, n-3)$ for n $\ge$ $3$

Stirling numbers, binomial coefficients

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