Burning Castle

This repository includes codes and plots for the following OEIS submissions:

• Formerly A342631, removed and recycled for being too artificial a(n) is the number of distinct values in the recursive iterations of f(x) = f(g(|2x-1|)) starting from a real number x where x = 0 or 0.1 <= x < 1, n is the fractional part of the decimal x, and g(x) removes prepending zeros from the fractional part of x. I thought this looked like a burning castle image, thus has been given the name of this repository. The image seen above is the plot of this sequence up to 5 million, with some additional visual flare :)

• Formerly A343274, removed and recycled for being too artificial a(n) is the number of distinct values in the recursive iterations of f(x) = f(|2x-1|) starting from a real number x where x = 0 or 0.1 <= x < 1, n is the fractional part of the decimal x. The only difference between the sequence above and this one is the g function inside f; however, that significantly changes the resulting plot.

• A343275 a(n) = |2n-10^num_digits(n)|, n is a positive integer. This is basically what is done within the two sequences above. The plots are V shaped for each interval 0-10-100-1000 and so on.