Showing what's behind the curtain

Investigate the optimum polynomial function to model the first `k` terms of a given sequence.

Determine if the origin is contained inside a triangle.

Find Fibonacci numbers for which the first and last nine digits are pandigital.

Investigating the density of “bouncy” numbers.

Count how many numbers below a googol (10**100) are not “bouncy”

Count the ways a row measuring fifty units in length could be filled with blocks three units long. The blocks must be separated by at least one empty space.

Fill an empty row with blocks, a minimum length of 50 units, until the size of the row exceeds 1,000,000 units. The blocks must be separated by at least one empty space.

Count the number of ways a space 50 units long could be filled by tiles, homogeneously, measuring 2, 3 or 4 units long.

Count the number of ways a space 50 units long could be filled by tiles, heterogeneously, measuring 2, 3 or 4 units long.

Investigating the numbers which are equal to sum of their digits raised to some power.