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A166629
Totally multiplicative sequence with a(p) = 8p for prime p.
1
1, 16, 24, 256, 40, 384, 56, 4096, 576, 640, 88, 6144, 104, 896, 960, 65536, 136, 9216, 152, 10240, 1344, 1408, 184, 98304, 1600, 1664, 13824, 14336, 232, 15360, 248, 1048576, 2112, 2176, 2240, 147456, 296, 2432, 2496, 163840, 328, 21504, 344, 22528
OFFSET
1,2
LINKS
FORMULA
Multiplicative with a(p^e) = (8p)^e.
If n = Product p(k)^e(k) then a(n) = Product (8*p(k))^e(k).
a(n) = n * A165829(n) = n * 8^bigomega(n) = n * 8^A001222(n).
Dirichlet g.f.: Product_{p prime} 1 / (1 - 8 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019
MATHEMATICA
Table[n*8^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)
PROG
(PARI) a(n) = n*8^bigomega(n); \\ Michel Marcus, Oct 30 2019
CROSSREFS
Sequence in context: A335296 A358447 A120468 * A066261 A256526 A243914
KEYWORD
nonn,mult
AUTHOR
Jaroslav Krizek, Oct 18 2009
STATUS
approved