A010805 17th powers: a(n) = n^17.

0, 1, 131072, 129140163, 17179869184, 762939453125, 16926659444736, 232630513987207, 2251799813685248, 16677181699666569, 100000000000000000, 505447028499293771, 2218611106740436992, 8650415919381337933

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (18, -153, 816, -3060, 8568, -18564, 31824, -43758, 48620, -43758, 31824, -18564, 8568, -3060, 816, -153, 18, -1).

Formula

Totally multiplicative sequence with a(p) = p^17 for prime p. Multiplicative sequence with a(p^e) = p^(17e). - Jaroslav Krizek, Nov 01 2009

From Ilya Gutkovskiy, Feb 27 2017: (Start)

Dirichlet g.f.: zeta(s-17).

Sum_{n>=1} 1/a(n) = zeta(17) = A013675. (End)

Sum_{n>=1} (-1)^(n+1)/a(n) = 65535*zeta(17)/65536. - Amiram Eldar, Oct 09 2020

Mathematica

Range[0, 15]^17 (* Harvey P. Dale, Sep 14 2011 *)

Prog

(Magma) [n^17: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) for(n=0, 15, print1(n^17, ", ")) \\ Derek Orr, Feb 27 2017

Crossrefs

Cf. A013675.

Sequence in context: A069278 A190780 A017698 * A138032 A236225 A323546

Adjacent sequences: A010802 A010803 A010804 * A010806 A010807 A010808

Keyword

nonn,mult,easy

Author

N. J. A. Sloane.

Status

approved