New posts in sequences-and-series

Inverse function of $x^{x^x}$

sequences-and-series functions inverse inverse-function

Solving a recursion efficiently

sequences-and-series algorithms numerical-methods recursion

Prove that if $a_1 + a_2 + \ldots$ converges then $a_1+2a_2+4a_4+8 a_8+\ldots$ converges and $\lim na_n=0$

calculus sequences-and-series proof-verification

Find the value of $\sum_{n =1}^\infty \frac 1 {5^{n+1}-5^n+1}$

calculus sequences-and-series summation

The Chudnovsky pi formula $1/\pi$ revisited

sequences-and-series pi modular-forms

Moving bricks into piles

sequences-and-series binomial-coefficients recursion

Expressing Zeta function using Gamma series

sequences-and-series gamma-function riemann-zeta divergent-series analytic-continuation

A Ramanujan infinite series

sequences-and-series binomial-coefficients generating-functions

Discriminant for $x^n+bx+c$

sequences-and-series polynomials

Asymptotics of the sum $\sum_{n=1}^\infty \frac{x^n}{n^n}$

sequences-and-series summation asymptotics taylor-expansion

Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.

sequences-and-series

Find all positive integers $n$ for which $1 + 5a_n.a_{n + 1}$ is a perfect square.

sequences-and-series

An inverse question inspired by Cauchy–Schwarz inequality [duplicate]

real-analysis sequences-and-series inequality

A triple integral involving $\text{Li}_2$

sequences-and-series special-functions alternative-proof

Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?

real-analysis sequences-and-series complex-analysis algebraic-geometry implicit-function-theorem

A few conjectured limits of products involving the Thue–Morse sequence

sequences-and-series number-theory limits products conjectures

Is there a relationship between $e$ and the sum of $n$-simplexes volumes?

geometry intuition sequences-and-series

An expression for $\large \frac{1}{\pi}$

sequences-and-series pi

Power series relation

sequences-and-series power-series

Is Cesaro convergence still weaker in measure?

probability sequences-and-series measure-theory convergence-divergence