A010809 21st powers: a(n) = n^21.

0, 1, 2097152, 10460353203, 4398046511104, 476837158203125, 21936950640377856, 558545864083284007, 9223372036854775808, 109418989131512359209, 1000000000000000000000, 7400249944258160101211

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index to divisibility sequences

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

Cf. A293904.

Sequence in context: A017623 A195252 A017706 * A323659 A017705 A013969

Adjacent sequences: A010806 A010807 A010808 * A010810 A010811 A010812

Keyword

nonn,mult,easy

Author

N. J. A. Sloane.

Status

approved