Number sequences are sets of numbers that follow a pattern or a rule. Each number in a sequence is called a term. A sequence which increases or decreases by the same amount each time is called a ...

Let p be an odd prime. Define $e_{n}=\cases (-1)^{n+\overline{n}}, & \text{if}\ n\ \text{is a quadratic residue mod}\ p\,\\ (-1)^{n+\overline{n}+1}, & \text{if}\ n ...