|
|
A166630
|
|
Totally multiplicative sequence with a(p) = 9p for prime p.
|
|
1
|
|
|
1, 18, 27, 324, 45, 486, 63, 5832, 729, 810, 99, 8748, 117, 1134, 1215, 104976, 153, 13122, 171, 14580, 1701, 1782, 207, 157464, 2025, 2106, 19683, 20412, 261, 21870, 279, 1889568, 2673, 2754, 2835, 236196, 333, 3078, 3159, 262440, 369, 30618, 387
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
FORMULA
|
Multiplicative with a(p^e) = (9p)^e.
If n = Product p(k)^e(k) then a(n) = Product (9*p(k))^e(k).
Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(1 - s)). - Ilya Gutkovskiy, Oct 30 2019
|
|
MATHEMATICA
|
Table[n*9^PrimeOmega[n], {n, 1, 100}] (* G. C. Greubel, May 19 2016 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,mult
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|