A010806 18th powers: a(n) = n^18.

0, 1, 262144, 387420489, 68719476736, 3814697265625, 101559956668416, 1628413597910449, 18014398509481984, 150094635296999121, 1000000000000000000, 5559917313492231481, 26623333280885243904

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (19, -171, 969, -3876, 11628, -27132, 50388, -75582, 92378, -92378, 75582, -50388, 27132, -11628, 3876, -969, 171, -19, 1).

Formula

Totally multiplicative sequence with a(p) = p^18 for prime p. Multiplicative sequence with a(p^e) = p^(18e). - Jaroslav Krizek, Nov 01 2009

From Ilya Gutkovskiy, Feb 27 2017: (Start)

Dirichlet g.f.: zeta(s-18).

Sum_{n>=1} 1/a(n) = 43867*Pi^18/38979295480125 = A013676. (End)

Sum_{n>=1} (-1)^(n+1)/a(n) = 131071*zeta(18)/131072 = 5749691557*Pi^18/5109094217170944000. - Amiram Eldar, Oct 09 2020

Mathematica

Range[0, 17]^18 (* Alonso del Arte, Feb 17 2015 *)

Prog

(Magma) [n^18: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) for(n=0, 15, print1(n^18, ", ")) \\ Derek Orr, Feb 27 2017

Crossrefs

Cf. A013676.

Sequence in context: A018879 A016905 A017700 * A030637 A236226 A183818

Adjacent sequences: A010803 A010804 A010805 * A010807 A010808 A010809

Keyword

nonn,mult,easy

Author

N. J. A. Sloane

Status

approved