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15
Math.TechQA.Club
2026-04-15 16:28:41
177
Views
Find the generating function of $f(n) = \sum_{k = 0}^n \binom{n}{k} (-1)^{n-k}C_{k}$
Published on
15 Apr 2026 - 16:28
#combinatorics
#discrete-mathematics
#generating-functions
#combinatorial-proofs
#catalan-numbers
75
Views
Is $\frac{1}{x(1+x)}$ a well-defined generating function?
Published on
11 Apr 2026 - 14:42
#combinatorics
#discrete-mathematics
#generating-functions
#formal-power-series
74
Views
Solving non-homogeneous recurrence relations
Published on
13 Apr 2026 - 7:45
#combinatorics
#induction
#recurrence-relations
#generating-functions
126
Views
"Matching coefficients" in generating functions approach
Published on
15 Apr 2026 - 13:09
#sequences-and-series
#convergence-divergence
#generating-functions
123
Views
Is there a closed form for $\sum_{k=0}^n \binom{n}{k}^2p^k(1-p)^{n-k}$?
Published on
14 Apr 2026 - 4:45
#combinatorics
#binomial-coefficients
#generating-functions
50
Views
Is it possible to find the value of a polynomial from the generating function?
Published on
10 Apr 2026 - 18:18
#polynomials
#taylor-expansion
#generating-functions
#orthogonal-polynomials
#hermite-polynomials
74
Views
Recurrence relation to solve
Published on
10 Apr 2026 - 22:50
#recurrence-relations
#generating-functions
#oeis
121
Views
Generating function of $f(n) = C_n - \sum_{k=1}^{n-1}\binom{n}{k}f(n-k)$
Published on
16 Apr 2026 - 14:48
#combinatorics
#discrete-mathematics
#generating-functions
#catalan-numbers
241
Views
How to solve this nonlinear recurrence relation?
Published on
10 Apr 2026 - 17:37
#discrete-mathematics
#recurrence-relations
#generating-functions
#recursion
64
Views
Solving Functional Equation from an Ordinary Generating Function
Published on
22 Apr 2026 - 15:23
#sequences-and-series
#combinatorics
#generating-functions
#functional-equations
300
Views
Partitions into distinct even summands and partitions into (not necessarily distinct) summands of the form $4k-2,k\in\Bbb N$
Published on
14 Apr 2026 - 0:01
#discrete-mathematics
#generating-functions
#integer-partitions
126
Views
OGF for unlabeled objects and EGF for labeled objects?
Published on
17 Apr 2026 - 15:53
#combinatorics
#generating-functions
50
Views
Extracting $P_0$ from generating function
Published on
12 Apr 2026 - 4:43
#probability
#stochastic-processes
#generating-functions
#moment-generating-functions
103
Views
Solving the differential equation $f''=f'+f$, where $f$ is an exponential function meant to give a term of Fibonacci series
Published on
12 Apr 2026 - 22:07
#generating-functions
#differential
59
Views
Computing a power series
Published on
12 Apr 2026 - 11:02
#power-series
#taylor-expansion
#generating-functions
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