OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (22, -231, 1540, -7315, 26334, -74613, 170544, -319770, 497420, -646646, 705432, -646646, 497420, -319770, 170544, -74613, 26334, -7315, 1540, -231, 22, -1).
FORMULA
Completely multiplicative sequence with a(p) = p^21 for prime p. Multiplicative sequence with a(p^e) = p^(21e). - Jaroslav Krizek, Nov 01 2009
From Amiram Eldar, Oct 09 2020: (Start)
Dirichlet g.f.: zeta(s-21).
Sum_{n>=1} 1/a(n) = zeta(21) (A293904).
Sum_{n>=1} (-1)^(n+1)/a(n) = 1048575*zeta(21)/1048576. (End)
MATHEMATICA
Table[n^21, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2010 *)
PROG
(Magma) [n^21: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) a(n)=n^21 \\ Felix Fröhlich, Jul 16 2014
CROSSREFS
KEYWORD
nonn,mult,easy
AUTHOR
STATUS
approved