cp's OEIS Frontend

Next term > 10^5. - Joerg Arndt, Oct 17 2016

From Serge Batalov, Feb 02 2022: (Start)

Next term (if it exists) > 2*10^7.

This sequence may be finite, for the reason that with increasing n, the density of trivially composite Motzkin numbers approaches 1. For 7*10^6 < n < 20*10^6, all Motzkin numbers have a small factor not exceeding 63809. See below.

Rowland and Yassawi, and later Burns, established asymptotic densities of A001006(n) modulo primes up to 29. In particular, the asymptotic densities of A001006(n) == 0 modulo 3, 7, 17 or 19 are 1. (End)