What are some of the reasons why sequences are rejected?
• sequence is an incorrect version of a sequence already in the database • sequence is not well defined • definition of sequence involves an arbitrary but large integer or an arbitrary real parameter • sequence is too contrived or artificial • sequence is too short • sequence contains numbers involving decimal points, up-arrows, or other unacceptable characters (see above) Example: primes that contain the digits 2003. The “2003” is an arbitrary and large parameter. Example: numbers n such that the digits of n appear in all powers n^s with s = 1 through 20: 0, 1, 5, 6, 10, 25, 50, 60, 76, 100, 101, … The parameter 20 here is arbitrary. If we replaced it by 38, say, the sequence would change. Example: digits of n appear in n^2, n^3 and prime(n): 976, 5903, 10513, 68793, 94682, … Too contrived! Example: even numbers that are not the sum of two primes: 2, … Too short! Assuming the Goldbach conjecture is true, there are no more terms. On the other hand, there are several legitimate se
