Knoothe
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 9 I am searching for an unusual real-valued function. 8 Fun Geometric Series Puzzle 2 Prove if $n \equiv 2 \pmod 7$, then $7 \mid (n^2 + 10)$ 0 How do you know that rows are independent and what are the 120 terms?

### Reputation (317)

 +80 Fun Geometric Series Puzzle +106 I am searching for an unusual real-valued function. +20 Prove if $n \equiv 2 \pmod 7$, then $7 \mid (n^2 + 10)$ +5 Limit of $\frac{f(n)}{2^n}$ where $f(n) = 2f(n-1) + g(\lfloor \frac{n}{2} \rfloor)$

### Question (1)

 2 Limit of $\frac{f(n)}{2^n}$ where $f(n) = 2f(n-1) + g(\lfloor \frac{n}{2} \rfloor)$

### Tags (10)

 9 functional-equations 0 multivariable-calculus 9 functions 0 sequences-and-series 8 puzzle 0 limits 8 calculus 0 linear-algebra 2 modular-arithmetic 0 matrices

### Accounts (4)

 Stack Overflow 817 rep 312 Mathematics 317 rep 16 Computer Science 283 rep 16 Meta Stack Exchange 131 rep 6