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A010802 14th powers: a(n) = n^14. 4

%I

%S 0,1,16384,4782969,268435456,6103515625,78364164096,678223072849,

%T 4398046511104,22876792454961,100000000000000,379749833583241,

%U 1283918464548864,3937376385699289,11112006825558016,29192926025390625,72057594037927936,168377826559400929,374813367582081024

%N 14th powers: a(n) = n^14.

%C Totally multiplicative sequence with a(p) = p^14 for prime p. Multiplicative sequence with a(p^e) = p^(14e). [_Jaroslav Krizek_, Nov 01 2009]

%H Vincenzo Librandi, <a href="/A010802/b010802.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (15, -105, 455, -1365, 3003, -5005, 6435, -6435, 5005, -3003, 1365, -455, 105, -15, 1).

%F From _Ilya Gutkovskiy_, Feb 27 2017: (Start)

%F Dirichlet g.f.: zeta(s-14).

%F Sum_{n>=1} 1/a(n) = 2*Pi^14/18243225 = A013672. (End)

%F a(n) = A001015(n)^2. - _Michel Marcus_, Feb 28 2018

%t Range[0,20]^14 (* _Harvey P. Dale_, Nov 08 2011 *)

%o (MAGMA) [n^14: n in [0..15]]; // _Vincenzo Librandi_, Jun 19 2011

%o (PARI) for(n=0,15,print1(n^14,", ")) \\ _Derek Orr_, Feb 27 2017

%Y Cf. A013672, A001015 (n^7).

%K nonn,mult

%O 0,3

%A _N. J. A. Sloane_.

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Last modified April 3 19:43 EDT 2020. Contains 333198 sequences. (Running on oeis4.)