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A347616 a(n) = Sum_{k=1..n} k^Omega(k). 2
1, 3, 6, 22, 27, 63, 70, 582, 663, 763, 774, 2502, 2515, 2711, 2936, 68472, 68489, 74321, 74340, 82340, 82781, 83265, 83288, 415064, 415689, 416365, 436048, 458000, 458029, 485029, 485060, 34039492, 34040581, 34041737, 34042962, 35722578, 35722615, 35724059, 35725580, 38285580 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
EXAMPLE
a(5) = Sum_{k=1..5} k^Omega(k) = 1^0 + 2^1 + 3^1 + 4^2 + 5^1 = 27.
MATHEMATICA
Table[Sum[k^PrimeOmega[k], {k, n}], {n, 40}]
PROG
(PARI) a(n) = sum(k=1, n, k^bigomega(k)); \\ Michel Marcus, Sep 09 2021
CROSSREFS
Cf. A001222 (Omega), A347614.
Partial sums of A176029.
Sequence in context: A066986 A096662 A236056 * A280116 A295578 A054297
KEYWORD
nonn
AUTHOR
Wesley Ivan Hurt, Sep 08 2021
STATUS
approved

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Last modified February 26 21:28 EST 2024. Contains 370352 sequences. (Running on oeis4.)