%I #14 Apr 06 2021 09:56:26

%S 1,3,5,8,9,17,13,20,21,35,21,50,25,49,51,48,33,91,37,88,77,89,45,126,

%T 65,107,81,124,57,255,61,112,141,163,137,242,73,177,167,232,81,365,85,

%U 220,227,209,93,328,133,315,213,264,105,393,229,342,257,267,117,680,121,281

%N a(n) = Sum_{i=1..n} gcd(n^i,i).

%H Seiichi Manyama, <a href="/A343114/b343114.txt">Table of n, a(n) for n = 1..1000</a>

%F If p is prime, a(p) = 2*p -1. - _Seiichi Manyama_, Apr 06 2021

%t Table[Sum[GCD[n^i, i], {i, n}], {n, 100}]

%o (PARI) a(n) = sum(i=1, n, gcd(n^i, i)); \\ _Michel Marcus_, Apr 05 2021

%Y Cf. A018804 (Pillai's function), A342449.

%K nonn

%O 1,2

%A _Wesley Ivan Hurt_, Apr 05 2021