I am trying to solve this recurrence relation $$ f(a,b)=cf(\lceil\frac{a}{c}\rceil,b)+cf(a,b-1). $$ The base cases are $f(a,2)=a$, $f(1, b)=1$, $c\geq{2}$, and $a, b, c\in{\mathbb{Z}^+}$. I tried to expand this relation, but I am confused about the termination conditions for different branches. Can anyone give me some clue about how to solve this recurrence relation?
2026-04-06 16:11:16.1775491876
Recurrence with Two Variables
23 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in RECURRENCE-RELATIONS
- Recurrence Relation for Towers of Hanoi
- Solve recurrence equation: $a_{n}=(n-1)(a_{n-1}+a_{n-2})$
- General way to solve linear recursive questions
- Approximate x+1 without addition and logarithms
- Recurrence relation of the series
- first order inhomogeneous linear difference equation general solution
- Guess formula for sequence in FriCAS
- Solve the following recurrence relation: $a_{n}=10a_{n-2}$
- Find closed form for $a_n=2\frac{n-1}{n}a_{n-1}-2\frac{n-2}{n}a_{n-2}$ for all $n \ge 3$
- Young Tableaux generating function
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?