I can't figure out the equation of $F(x)$, if any, for the following sequence of numbers.
$$225, 232, 244, 262, 287, 318, 354, 397, 446, 502, 563, 630, 704, 784, 870, 962$$
The equation should evaluate $x$ as:
$$F(0) = 225$$ $$F(1) = 232$$ $$F(2) = 244$$ etc.
Can somebody figure out what $F(x)$ is, or point me to a resource to help me find a solution?
Not really a closed form but an expression exact except for the last two terms ($+1$) is :
($[x]$ is the nearest integer) $$F(n-1)=\left[\left(\frac{7n}4\right)^2-3n+225.4\right]$$