A227728 - cp's OEIS frontend

A227728 a(1) = greatest k such that H(k) - H(2) < 1/1 + 1/2; a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(2); 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	10
2	43
3	179
4	740
5	3054
6	12599
7	51971
8	214376
9	884278
10	3647546
11	15045706
12	62061794
13	255997704
14	1055960840
15	4355715996
16	17966823308
17	74111062350
18	305699536774
19	1260975134078
20	5201376179830
21	21455073484758
22	88499689759294
23	365050956038686
24	1505792854949114

[10, 43, 179, 740, 3054, 12599, 51971, 214376, 884278, 3647546, 15045706, 62061794, 255997704, 1055960840, 4355715996, 17966823308, 74111062350, 305699536774, 1260975134078, 5201376179830, 21455073484758, 88499689759294, 365050956038686, 1505792854949114]

cp's OEIS Frontend

A227728 a(1) = greatest k such that H(k) - H(2) < 1/1 + 1/2; a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(2); 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