A224868 - cp's OEIS frontend

A224868 a(1) = greatest k such that H(k) - H(4) < 1/3 + 1/4; a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(4); and for n > 2, a(n) = greatest k such that H(k) - H(a(n-1)) > H(a(n-1)) - H(a(n-2)), where H = harmonic number.

n	a(n)
1	7
2	11
3	17
4	26
5	39
6	58
7	86
8	127
9	187
10	275
11	404
12	593
13	870
14	1276
15	1871
16	2743
17	4021
18	5894
19	8639
20	12662
21	18558
22	27199
23	39863
24	58423
25	85624
26	125489
27	183914
28	269540
29	395031
30	578947
31	848489
32	1243522
33	1822471
34	2670962
35	3914486
36	5736959
37	8407923
38	12322411
39	18059372

[7, 11, 17, 26, 39, 58, 86, 127, 187, 275, 404, 593, 870, 1276, 1871, 2743, 4021, 5894, 8639, 12662, 18558, 27199, 39863, 58423, 85624, 125489, 183914, 269540, 395031, 578947, 848489, 1243522, 1822471, 2670962, 3914486, 5736959, 8407923, 12322411, 18059372]

cp's OEIS Frontend

A224868 a(1) = greatest k such that H(k) - H(4) < 1/3 + 1/4; a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(4); and for n > 2, a(n) = greatest k such that H(k) - H(a(n-1)) > H(a(n-1)) - H(a(n-2)), where H = harmonic number.

Table of values

List of values