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RobPratt
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1,061 Answers

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51
What is the optimal number of dice to roll a Yahtzee in one roll?
Feb 6 '20 at 19:28
37
What is the closed form of the $f$ with $f(1)=1$, $f(2)=7$ and $f(n)=7f(n-1)-12f(n-2)$ ($n\ge 3$)?
Jul 14 '19 at 3:55
23
Is there a generating function for any finite sequence of random numbers?
Apr 7 '20 at 22:05
15
Number of ways to label die with opposing faces summing to 7
Jan 1 '20 at 20:25
14
Does it exist a way how to find the ways to get from one point to another when certain points must be avoided in a grid?
Mar 21 '20 at 1:56
11
Express $\sum_{j=1}^{n}\sum_{i=1}^{n} \frac{1}{i(i+j)}$ in terms of harmonic numbers
Jul 16 '19 at 3:22
9
is it possible to divide $9\times 11$ rectangle into one $1\times 3$ rectangle and N tetrominoes?
Jan 16 '20 at 22:25
8
How many meetings would it take for 12 people to meet in 4 groups of 3 until they met everyone?
Dec 31 '20 at 21:31
8
Is a closed form for quaternary sequences avoiding some patterns known?
Jan 13 '20 at 5:31
7
Different bricks making a cube
Mar 23 '20 at 1:56
6
What does the notation $\{0,1\}^{\mathbb{N}}$ mean?
Jan 11 at 19:49
6
Show $\sum_{k=1}^{2n-1}\frac{\left(-1\right)^{k-1}k}{\binom{2n}{k}}=\frac{n}{n+1}$
Mar 12 '20 at 17:58
6
Is there a use for undirected graphs defined by ternary relations?
Jan 31 '20 at 16:59
6
Series prove using combinational argument
Jan 25 '20 at 7:25
6
counting proof for $\sum_{k=0}^{n-1} 2^{k} = 2^n - 1$
Sep 22 '19 at 22:28
6
Sum of a sequence.
Jul 15 '19 at 20:49
5
Tiling $10\times10$ grid with T and S tetrominoes
Mar 30 at 0:09
5
Counting minimum elements needed such that their sum covers the whole finite space.
Jan 6 at 19:20
5
Find a closed form expression for $\sum_{k=1}^{n}4^k\binom{2n}{2k}$
Oct 14 '20 at 0:33
5
Replacement only when 'prize' is found
Sep 3 '20 at 17:56
5
Probability of choosing cards from a standard deck of 52
Aug 13 '20 at 3:48
5
Notation for set minus
May 6 '20 at 3:55
5
Triple Summation of product of Binomial Coefficients $\sum_{k=0}^n\sum_{j=0}^n\sum_{i=0}^n\binom ni\binom{n-i}j\binom{n-j}k=5^n$?
Apr 14 '20 at 22:21
5
Find a generating function involving a tiling problem
Mar 7 '20 at 23:23
5
Explain how $\sum_{k = 1}^n\frac{k^2}{2^{k - 1}} = \sum_{k = 0}^{n - 1}\frac{\left(k + 1\right)^2}{2^k}$?
Jan 26 '20 at 17:46
5
What combination of inputs results in the largest output?
Jan 26 '20 at 17:31
5
Summation with exclusion
Jan 17 '20 at 4:10
5
Find the formula for the convolution of the sequences (generating functions)
Aug 25 '19 at 20:55
4
What does $\sum_{i/k_i = k}$ mean in the equation below?
Apr 13 at 2:17
4
Determining the number of trinities in a graph
Mar 30 at 1:52
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