Question

Motzkin numbers generating function, binomial, recurrence relation

score 40 · Answer 1 · 2026-04-10 14:19:46

40

Views

Motzkin numbers generating function, binomial, recurrence relation

Published on 10 Apr 2026 - 14:19

score 130 · Answer 2 · 2026-04-13 20:03:53

130

Views

Proof $\displaystyle \sum_{k=0}^n \binom{2n}{2k} = 2^{2n-1}$

Published on 13 Apr 2026 - 20:03

score 48 · Answer 3 · 2026-04-14 06:19:17

48

Views

performing induction on $b_{n+1}=1+\sum_{r=1}^{n}b_{r}^{2}$

Published on 14 Apr 2026 - 6:19

score 170 · Answer 4 · 2026-04-12 00:07:38

170

Views

Simplifying a binomial sum for bridge deals with specific voids

Published on 12 Apr 2026 - 0:07

score 38 · Answer 5 · 2026-04-13 19:11:53

38

Views

find number of disjoint subsets

Published on 13 Apr 2026 - 19:11

score 39 · Answer 6 · 2026-04-22 11:04:47

39

Views

Double summation of the series of $\mathrm{C}_{n}^{m}(m+n+2)\left(\frac{1}{2}\right)^{m+n}$

Published on 22 Apr 2026 - 11:04

score 153 · Answer 7 · 2026-04-11 11:16:12

153

Views

Reference for a combinatorial identity involving the number of derangements

Published on 11 Apr 2026 - 11:16

score 61 · Answer 8 · 2026-04-14 14:33:01

61

Views

Prove combinatoric equation: $\sum_{k=1}^n{{k}\choose{j}}k = {{n+1}\choose{j+1}}n - {{n+1}\choose{j+2}}$

Published on 14 Apr 2026 - 14:33

score 44 · Answer 9 · 2026-04-16 04:17:40

44

Views

Number of ways to select a subset of the set $ \{1, 2, . . . , 200 \}$ in such a way that it contains the same number of even and odd elements.

Published on 16 Apr 2026 - 4:17

score 132 · Answer 10 · 2026-04-16 22:54:44

132

Views

Find the coefficient of $x^{30}$ in the following polynomial $(1+x+x^2+x^3+x^4+x^6)^6$

Published on 16 Apr 2026 - 22:54

score 35 · Answer 11 · 2026-04-10 05:15:13

35

Views

Numbers of combination of groups

Published on 10 Apr 2026 - 5:15

score 65 · Answer 12 · 2026-04-13 12:56:42

65

Views

Primality test based on the properties of Pascal Triangle partial sum of a given diagonal

Published on 13 Apr 2026 - 12:56

score 31 · Answer 13 · 2026-04-09 15:52:37

31

Views

A probability question over multiple questions test.

Published on 09 Apr 2026 - 15:52

score 48 · Answer 14 · 2026-04-15 09:28:15

48

Views

Summation with $n+k-1 \choose k$

Published on 15 Apr 2026 - 9:28

score 91 · Answer 15 · 2026-04-12 03:29:01

91

Views

Finding $\sum_{_{0\le i}}\sum_{_{<j\le n}} {n \choose i}$

Published on 12 Apr 2026 - 3:29

List Question

Motzkin numbers generating function, binomial, recurrence relation

Proof $\displaystyle \sum_{k=0}^n \binom{2n}{2k} = 2^{2n-1}$

performing induction on $b_{n+1}=1+\sum_{r=1}^{n}b_{r}^{2}$

Simplifying a binomial sum for bridge deals with specific voids

find number of disjoint subsets

Double summation of the series of $\mathrm{C}_{n}^{m}(m+n+2)\left(\frac{1}{2}\right)^{m+n}$

Reference for a combinatorial identity involving the number of derangements

Prove combinatoric equation: $\sum_{k=1}^n{{k}\choose{j}}k = {{n+1}\choose{j+1}}n - {{n+1}\choose{j+2}}$

Number of ways to select a subset of the set $ \{1, 2, . . . , 200 \}$ in such a way that it contains the same number of even and odd elements.

Find the coefficient of $x^{30}$ in the following polynomial $(1+x+x^2+x^3+x^4+x^6)^6$

Numbers of combination of groups

Primality test based on the properties of Pascal Triangle partial sum of a given diagonal

A probability question over multiple questions test.

Summation with $n+k-1 \choose k$

Finding $\sum_{_{0\le i}}\sum_{_{<j\le n}} {n \choose i}$

Trending Questions

Popular # Hahtags

Popular Questions