A350997 a(n) = Sum_{k=1..n} k^rad(k).

1, 5, 32, 48, 3173, 49829, 873372, 873436, 874165, 10000874165, 295312544776, 295315530760, 303170422123013, 11415177247681029, 449309067628540404, 449309067628540660, 827689570953965304837, 827689570953999317061, 1979247345231267588441040

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Wikipedia, Radical of an integer.

Formula

a(n) = Sum_{k=1..n} A176031(k).

Example

a(4) = 48; a(4) = Sum_{k=1..4} k^rad(k) = 1^rad(1) + 2^rad(2) + 3^rad(3) + 4^rad(4) = 1^1 + 2^2 + 3^3 + 4^2 = 48.

Mathematica

f[n_] := n^Times @@ FactorInteger[n][[;; , 1]]; Accumulate @ Array[f, 20] (* Amiram Eldar, Jan 29 2022 *)

Crossrefs

Cf. A007947 (rad), A176031, A350996.

Sequence in context: A265159 A247549 A140154 * A073694 A322952 A101966

Adjacent sequences: A350994 A350995 A350996 * A350998 A350999 A351000

Keyword

nonn

Author

Wesley Ivan Hurt, Jan 28 2022

Status

approved