Integer Sequences

• Identify a sequence (or get the next term of it)
• Wikipedia
• Create a random sequence

 

An integer sequence can be explicit or implicit.

Explicit: a formula is used to create the next term, for example 2n+8. The number after 5 would be 18 (2x5+8).

Implicit: a relationship between the terms give the next term. For example: adding the two last terms to give the next.

The members of a sequence can also have certain properties that other numbers don't. For example Prime numbers, which are only divisible by 1 and themself.


Examples of sequences (from Wikipedia)

• Abundant numbers
• Baum–Sweet sequence
• Bell numbers
• Binomial coefficients
• Carmichael numbers
• Catalan numbers
• Composite numbers
• Deficient numbers
• Euler numbers
• Even and odd numbers
• Factorial numbers
• Fibonacci numbers
• Fibonacci word
• Figurate numbers
• Golomb sequence
• Happy numbers
• Highly totient numbers
• Highly composite numbers
• Home primes
• Hyperperfect numbers
• Juggler sequence
• Kolakoski sequence
• Lucky numbers
• Lucas numbers
• Padovan numbers
• Partition numbers
• Perfect numbers
• Pseudoperfect numbers
• Prime numbers
• Pseudoprime numbers
• Regular paperfolding sequence
• Rudin–Shapiro sequence
• Semiperfect numbers
• Semiprime numbers
• Superperfect numbers
• Thue-Morse sequence
• Ulam numbers
• Weird numbers