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Odd Number Triangle - Number of elements in row n

$$n$$

Odd Number Triangle - Sum of row n

$$n^3$$

Odd Number Triangle - Median of row n

$$n^2$$

Odd Number Triangle - 1st term in row n

$$n^2 - n + 1$$

Odd Number Triangle - Last term in row n

$$n^2 + n - 1$$

Pascal's Triangle - n choose k formula

$$\frac{n!}{k!\left(n-k\right)!}$$

Pascal's Triangle - Identity

$$\text{(n choose k)} + \text{(n choose k-1)} = \text{(n+1 choose k+1)}$$

Pascal's Triangle - Symmetry

$\text{n choose k} = \text{(n choose k-n)}$.

Pascal's Triangle - Sum of row n

$$2^{n}$$

Pascal's Triangle - Sum of every other term

$$2^{n-1}$$

Fibonacci Numbers - Definition

0, 1, 1, 2, 3, 5, 8, 13.

Fibonacci Numbers - Recursive formula

$$F_{n}=F_{n-1}+F_{n-2}, n \ge 2$$

Fibonacci Numbers - Fibonacci addition formula

$$F_{m+n+1}=F_{m+1}F_{n+1}+F_{m}F_{n}$$