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Mathematics
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DrTokus1998
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4
Number of compositions of $n$ into an odd number of part, each of which is at least $3$
Mar 12
4
How do I find the generating function for the set $𝐿$ L of strings over $\{ 0 , 1 , 2\} $ that do not contain "$12$" as a substring?
Jul 3
2
How to prove $\{0,1\}^*$ equals $\{1\}^* (\{0\}\{0\}^*\{1\}\{1\}^*)^*\{0\}^*$
Mar 14
2
Prove that $b_n = [x^n]\frac{1-x^2+x^3}{1-2x+x^2-x^3}$
Mar 15
2
Compute the power series of $\frac{2-6x+x^2}{1-3x}$
Mar 24
1
Prove that $\left|\sum_{k\geq 0}(-1)^k {N-k-1 \choose N-2k}\right| = 1$ if $N\equiv 1 \bmod 3$ or $0$ otherwise [duplicate]
Mar 11
0
Find the coefficient of $x^{n+1}$ in $x^k(1-4x)^{-2k}$
Mar 11
0
Find generating function for the number of partitions which are not divisible by $3$. [duplicate]
Apr 17
0
Let $H=\{\sigma\in S_n\mid 1\le\sigma(i) \le k\;\forall i=1,2,\cdots,k\}$. Prove that $H$ is a subgroup of $S_n$ and $H\cong S_k\times S_{n-k}$.
Jun 17
-1
Prove $\operatorname{ord}(x)$ is finite and equal to $\operatorname{lcm}(\operatorname{ord}(x_1),\operatorname{ord}(x_2))$ [closed]
Jun 12