A215663 - cp's OEIS frontend

A215663 Floor(R(10^n)) - pi(10^n), where pi(x) is the number of primes <= x, R(x) = Sum_{ k>=1 } ((mu(k)/k) * li(x^(1/k))) and li(x) is the Cauchy principal value of the integral from 0 to x of dt/log(t).

n	a(n)
1	0
2	0
3	0
4	-3
5	-5
6	29
7	88
8	96
9	-79
10	-1828
11	-2319
12	-1476
13	-5774
14	-19201
15	73217
16	327052
17	-598255
18	-3501366
19	23884333
20	-4891825
21	-86432205
22	-127132665
23	1033299853
24	-1658989720
25	-1834784715
26	-17149335456
27	-17535487935
28	-174760519828

[0, 0, 0, -3, -5, 29, 88, 96, -79, -1828, -2319, -1476, -5774, -19201, 73217, 327052, -598255, -3501366, 23884333, -4891825, -86432205, -127132665, 1033299853, -1658989720, -1834784715, -17149335456, -17535487935, -174760519828]

cp's OEIS Frontend

A215663 Floor(R(10^n)) - pi(10^n), where pi(x) is the number of primes <= x, R(x) = Sum_{ k>=1 } ((mu(k)/k) * li(x^(1/k))) and li(x) is the Cauchy principal value of the integral from 0 to x of dt/log(t).

Table of values

List of values