A129132 Partial sums of A051903.

0, 1, 2, 4, 5, 6, 7, 10, 12, 13, 14, 16, 17, 18, 19, 23, 24, 26, 27, 29, 30, 31, 32, 35, 37, 38, 41, 43, 44, 45, 46, 51, 52, 53, 54, 56, 57, 58, 59, 62, 63, 64, 65, 67, 69, 70, 71, 75, 77, 79, 80, 82, 83, 86, 87, 90, 91, 92, 93, 95, 96, 97, 99, 105, 106, 107, 108, 110, 111, 112

Offset

1,3

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Formula

a(n+1) = a(n) + A051903(n), a(1) = 0;

A128651(a(n-1) + 2) = A007947(n) for n>1.

a(n) ~ c * n, where c is Niven's constant (A033150). - Amiram Eldar, Oct 19 2020

a(n) = - Sum_{i=2..n} Sum_{j=1..n} mobius(i)*floor(n/(i^j)). - Ridouane Oudra, Nov 22 2024

Mathematica

f[1] = 0; f[n_] := Max @ FactorInteger[n][[;; , 2]]; Accumulate @ Array[f, 70] (* Amiram Eldar, Oct 19 2020 *)

Crossrefs

Cf. A007947, A033150, A051903, A128651.

Sequence in context: A165291 A080762 A047570 * A191843 A318606 A057461

Adjacent sequences: A129129 A129130 A129131 * A129133 A129134 A129135

Keyword

nonn,easy

Author

Reinhard Zumkeller, Mar 30 2007

Status

approved