A201542 - cp's OEIS frontend

A201542 Integer nearest f(2^n), where f(x) = Sum of ( mu(k) * H(k)/k^(3/2) * Integral Log(x^(1/k)) ) for k = 1 to infinity, where H(k) is the harmonic number sum_{i=1..k} 1/i.

n	a(n)
1	2
2	2
3	4
4	6
5	11
6	18
7	31
8	54
9	96
10	171
11	309
12	562
13	1029
14	1896
15	3514
16	6545
17	12247
18	23005
19	43371
20	82029
21	155598
22	295927
23	564164
24	1077892
25	2063545
26	3957761
27	7603593
28	14630713
29	28192867
30	54399529
31	105097590
32	203280493
33	393614506
34	762937782
35	1480207843
36	2874399615

[2, 2, 4, 6, 11, 18, 31, 54, 96, 171, 309, 562, 1029, 1896, 3514, 6545, 12247, 23005, 43371, 82029, 155598, 295927, 564164, 1077892, 2063545, 3957761, 7603593, 14630713, 28192867, 54399529, 105097590, 203280493, 393614506, 762937782, 1480207843, 2874399615]

cp's OEIS Frontend

A201542 Integer nearest f(2^n), where f(x) = Sum of ( mu(k) * H(k)/k^(3/2) * Integral Log(x^(1/k)) ) for k = 1 to infinity, where H(k) is the harmonic number sum_{i=1..k} 1/i.

Table of values

List of values