A010811 23rd powers: a(n) = n^23.

0, 1, 8388608, 94143178827, 70368744177664, 11920928955078125, 789730223053602816, 27368747340080916343, 590295810358705651712, 8862938119652501095929, 100000000000000000000000

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 (24, -276, 2024, -10626, 42504, -134596, 346104, -735471, 1307504, -1961256, 2496144, -2704156, 2496144, -1961256, 1307504, -735471, 346104, -134596, 42504, -10626, 2024, -276, 24, -1).

Formula

Completely multiplicative sequence with a(p) = p^23 for prime p. Multiplicative sequence with a(p^e) = p^(23e). - Jaroslav Krizek, Nov 01 2009

From Amiram Eldar, Oct 09 2020: (Start)

Dirichlet g.f.: zeta(s-23).

Sum_{n>=1} 1/a(n) = zeta(23).

Sum_{n>=1} (-1)^(n+1)/a(n) = 4194303*zeta(23)/4194304. (End)

Maple

A010811:=n->n^23; seq(A010811(n), n=0..20); # Wesley Ivan Hurt, Apr 07 2014

Mathematica

Table[n^23, {n, 0, 20}] (* Wesley Ivan Hurt, Apr 07 2014 *)

Prog

(Magma) [n^23: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) a(n)=n^23 \\ Charles R Greathouse IV, Jun 28 2015

Crossrefs

Sequence in context: A011573 A022539 A017710 * A323660 A017709 A013971

Adjacent sequences: A010808 A010809 A010810 * A010812 A010813 A010814

Keyword

nonn,mult,easy

Author

N. J. A. Sloane

Status

approved