A347614 a(n) = Sum_{k=1..n} n^Omega(k).

1, 3, 7, 25, 41, 91, 127, 673, 1009, 1441, 1871, 4093, 5149, 6553, 8191, 75361, 95201, 124543, 153217, 194561, 234781, 280897, 332949, 723673, 849601, 991251, 1168831, 1369117, 1569597, 1818301, 2065531, 35891553, 41771137, 48397471, 55839561, 65848861, 75339253

Offset: 1

Author

Wesley Ivan Hurt, Sep 08 2021

Keywords

• nonn

Examples

			a(5) = Sum_{k=1..5} 5^Omega(k) = 5^0 + 5^1 + 5^1 + 5^2 + 5^1 = 41.
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A001222 (Omega), A347616.

Programs

Mathematica

Table[Sum[n^PrimeOmega[k], {k, n}], {n, 40}]

PARI

a(n) = sum(k=1, n, n^bigomega(k)); \\ Michel Marcus, Sep 09 2021