A010803 15th powers: a(n) = n^15.

0, 1, 32768, 14348907, 1073741824, 30517578125, 470184984576, 4747561509943, 35184372088832, 205891132094649, 1000000000000000, 4177248169415651, 15407021574586368, 51185893014090757, 155568095557812224

Offset

0,3

Comments

Totally multiplicative sequence with a(p) = p^15 for prime p. Multiplicative sequence with a(p^e) = p^(15e). - Jaroslav Krizek, Nov 01 2009

Links

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

Index entries for linear recurrences with constant coefficients, signature (16, -120, 560, -1820, 4368, -8008, 11440, -12870, 11440, -8008, 4368, -1820, 560, -120, 16, -1).

Formula

From Ilya Gutkovskiy, Feb 27 2017: (Start)

Dirichlet g.f.: zeta(s-15).

Sum_{n>=1} 1/a(n) = zeta(15) = A013673. (End)

Sum_{n>=1} (-1)^(n+1)/a(n) = 16383*zeta(15)/16384. - Amiram Eldar, Oct 08 2020

Mathematica

Table[n^15, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2010 *)

Prog

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

Crossrefs

Cf. A013673.

Sequence in context: A017621 A195251 A017694 * A236223 A183817 A303267

Adjacent sequences: A010800 A010801 A010802 * A010804 A010805 A010806

Keyword

nonn,mult,easy

Author

N. J. A. Sloane

Status

approved