Find a sequence that yields the sequence 1,1,2,3,5,8,13,…:

Find a function that yields the given sequence as a subsequence:

Check the even subsequence:

Periodic sequences:

Polynomial functions:

Rational functions:

Hypergeometric terms:

Recurrence equations:

FindSequenceFunction works on arbitrary exact numbers or symbolic expressions:

Find formulas for complex sequences:

Use additional values to validate the result:

Find a closed form for a sequence of definite integrals:

Find a closed form for the number of 0,1 sequences of length containing two adjacent 1s:

Generate a sequence from a power series expansion:

Find its formula:

Use SeriesCoefficient to find an alternative formula:

FindSequenceFunction assumes that sequences start with index 1:

Compare the result:

Compute a finite number of Fourier coefficients:

Find the formula:

Use a FourierCoefficient directly:

Verify the consistency of formulas:

Construct the Cantor set by starting with a {0,1} interval and removing the middle third of each interval in each step:

Some steps:

Find the length of the region:

Find a formula for the sequence of lengths using FindSequenceFunction:

Sum, Product, and other general discrete functions may be used:

Find the generating function of a sequence:

Use FindGeneratingFunction: