mbjoe

### Questions (12)

 7 Sum of binomial coefficients in Gould tables 4 How to show $n=1+\sum_{k=1}^{n}\left\lfloor{\log_2\frac{2n-1}{2k-1}}\right\rfloor$ for every natural number $n$. 4 Functional equation $f(f(x)-x)=f(f(x))$ 3 Hints for proving (and extending) $3^{n+3} \mid 2^{3^n}-3^{n+1}+1$ 3 How to count all the solutions for $\sum\limits_{i=1}^{n} \frac{1}{2^{k_i}}= 1$ for $k_i\in \Bbb{N}$ and $n$ a fixed positive integer?

### Reputation (206)

 +15 Hints for proving (and extending) $3^{n+3} \mid 2^{3^n}-3^{n+1}+1$ +5 Constraints for the number of basis sets vs number of sets for a union-closed sets conjecture counterexample +5 Understanding the proof that if $n\mid 2^n+2$ and $n>1$, then $n$ is even +5 How to count all the solutions for $\sum\limits_{i=1}^{n} \frac{1}{2^{k_i}}= 1$ for $k_i\in \Bbb{N}$ and $n$ a fixed positive integer?

 7 Logic behind bitwise operators in C 1 What is currently the highest lower bound for the length of a nontrivial cycle in the Collatz Conjecture? 1 Sum of set bits in every element for a natural numbers 1 Representation of powers of three in binary. 0 Inequality in Frankl's conjecture

### Tags (25)

 7 logic 1 puzzle 7 bit-strings 1 collatz 2 binary × 2 1 soft-question 1 binomial-coefficients × 4 1 open-problem 1 sequences-and-series × 2 0 combinatorics × 6

### Accounts (6)

 Stack Overflow 635 rep 318 Mathematics 206 rep 1111 MathOverflow 156 rep 3 Super User 101 rep English Language & Usage 101 rep 1