New posts in recurrence-relations

How to find explicit formula for two recursions?

sequences-and-series recurrence-relations recursion

Prove that there are infinitely many $n$ such that $2018 \mid U_n-1$

sequences-and-series algebra-precalculus number-theory recurrence-relations

What is the position of the surviving mouse?

discrete-mathematics recurrence-relations

Showing Directly that Dyck Paths Satisfy the Catalan Recurrence

combinatorics recurrence-relations catalan-numbers

How to solve $ \sqrt{x^2 +\sqrt{4x^2 +\sqrt{16x^2+ \sqrt{64x^2+\dotsb} } } } =5\,$?

sequences-and-series recurrence-relations radicals nested-radicals

Solve $A_n=A_{n-1}+\lfloor \sqrt{A_{n-1}}\rfloor$

recurrence-relations

Newton's method for square roots 'jumps' through the continued fraction convergents

numerical-methods recurrence-relations continued-fractions newton-raphson

Limit of recursive sequence with floor

calculus sequences-and-series limits recurrence-relations contest-math

Closed form solution of recurrence relation

recurrence-relations

A pair of sequences defined by mutual addition/multiplication

number-theory limits recurrence-relations asymptotics golden-ratio

Limit of the quotient of sums of recurrent relations

real-analysis calculus sequences-and-series limits recurrence-relations

How many ways to seat $n$ couples so that each husband's neighbors can only be his wife or another gentleman?

combinatorics recurrence-relations contest-math recursion

Recursive Sequence $a_n = \frac{1}{2} (a_{n-1} + 5) $

real-analysis sequences-and-series limits recurrence-relations

Looking for a closed form solution $P_{n+2}(x)=x^2 P'_{n+1}(x)+(n+1)xP_{n+1}(x)-(n+1)P'_n(x) $

derivatives polynomials partial-differential-equations recurrence-relations generating-functions

What is the asymptotic expansion of $x_n$ where $x_{n+1} = x_n+1/x_n$?

asymptotics recurrence-relations

Perturbative solution to $x^3+x-1=0$

sequences-and-series recurrence-relations roots perturbation-theory

Closed-Form solution for nested integrals of this polynomial?

calculus integration definite-integrals recurrence-relations closed-form

Adapted Towers of Hanoi from Concrete Mathematics - number of arrangements

algorithms discrete-mathematics recurrence-relations

How many permutations of a multiset have a run of length k?

combinatorics permutations recurrence-relations multisets combinatorics-on-words

Does this recurrence have a closed form limit $x_{n+1}=x_n-\frac{a}{3^{2n+1}x_n}$?

sequences-and-series recurrence-relations asymptotics