A227653 - cp's OEIS frontend

A227653 a(1) = least k such that 1/2 + 1/3 < H(k) - H(3); a(2) = least k such that H(a(1)) - H(3) < H(k) -H(a(1)), and for n > 2, a(n) = least k such that H(a(n-1)) - H(a(n-2)) > H(k) - H(a(n-1)), where H = harmonic number.

n	a(n)
1	8
2	21
3	54
4	138
5	352
6	897
7	2285
8	5820
9	14823
10	37752
11	96148
12	244872
13	623645
14	1588311
15	4045140
16	10302237
17	26237926
18	66823230
19	170186624
20	433434405
21	1103878665
22	2811378360
23	7160069791
24	18235396608
25	46442241368
26	118279949136
27	301237536249
28	767197263003

[8, 21, 54, 138, 352, 897, 2285, 5820, 14823, 37752, 96148, 244872, 623645, 1588311, 4045140, 10302237, 26237926, 66823230, 170186624, 433434405, 1103878665, 2811378360, 7160069791, 18235396608, 46442241368, 118279949136, 301237536249, 767197263003]

cp's OEIS Frontend

A227653 a(1) = least k such that 1/2 + 1/3 < H(k) - H(3); a(2) = least k such that H(a(1)) - H(3) < H(k) -H(a(1)), and for n > 2, a(n) = least k such that H(a(n-1)) - H(a(n-2)) > H(k) - H(a(n-1)), where H = harmonic number.

Table of values

List of values