a(n) = number of finite sequences using numbers drawn from (1,2,3,...,n), using each number at most once, where each number in a finite sequence is not coprime to the previous number, and each finite sequence must continued if possible. (See example.)
1, 2, 3, 4, 5, 13, 14, 43, 79, 457, 458, 5145, 5146, 38237, 259920, 1702869, 1702870
1 seqfan posts
Wed Mar 24 18:43:21 CET 2010 [seqfan] Counting Certain Finite Sequences