A376244 - cp's OEIS frontend

A376244 Lexicographically earliest sequence of positive integers a(1), a(2), ... with the property that the lexicographically earliest sequence of positive integers b(1), b(2), ... such that for any n > 0, S(n) = Sum_{k = 1..n} 1 / (a(k)*b(k)) < 1, also implies that S(n) is never of the form (e_n - 1) / e_n for some integer e_n.

n	a(n)
1	3
2	4
3	5
4	4
5	7
6	3
7	9
8	1
9	11
10	4
11	13
12	7
13	9
14	19
15	10
16	2
17	23
18	25
19	29
20	27
21	53
22	1
23	17
24	7
25	2
26	2
27	15
28	67
29	22
30	37

[3, 4, 5, 4, 7, 3, 9, 1, 11, 4, 13, 7, 9, 19, 10, 2, 23, 25, 29, 27, 53, 1, 17, 7, 2, 2, 15, 67, 22, 37]