A108956 a(n) = floor(R(2n) - R(n)).

1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17

Offset

2,2

Comments

Where does this first differ from A108955? - R. J. Mathar, Jun 03 2026

Links

Table of n, a(n) for n=2..84.

Formula

R(x) = Riemann Pi(x) approximation.

Prog

(PARI) p(n) = for(x=2, n, y=R(2*x)-R(x); print1(floor(y)", "))
R(x) = { local(j); round(sum(j=1, 200, moebius(j)*Li(x^(1/j))/j)) } \\ Riemann approx of Pi(x)
Li(x) = -eint1(log(1/x));

Crossrefs

Sequence in context: A052146 A097882 A108955 * A289133 A367194 A135297

Adjacent sequences: A108953 A108954 A108955 * A108957 A108958 A108959

Keyword

easy,nonn

Author

Cino Hilliard, Jul 22 2005

Status

approved