%I #17 Oct 09 2020 03:39:45

%S 0,1,268435456,22876792454961,72057594037927936,37252902984619140625,

%T 6140942214464815497216,459986536544739960976801,

%U 19342813113834066795298816,523347633027360537213511521

%N 28th powers: a(n) = n^28.

%H Amiram Eldar, <a href="/A122969/b122969.txt">Table of n, a(n) for n = 0..10000</a>

%F Totally multiplicative sequence with a(p) = p^28 for prime p. Multiplicative sequence with a(p^e) = p^(28e). - _Jaroslav Krizek_, Nov 01 2009

%F From _Amiram Eldar_, Oct 09 2020: (Start)

%F Dirichlet g.f.: zeta(s-28).

%F Sum_{n>=1} 1/a(n) = zeta(28) = 6785560294*Pi^28/564653660170076273671875.

%F Sum_{n>=1} (-1)^(n+1)/a(n) = 134217727*zeta(28)/134217728 = 65053034220152267*Pi^28/5413323669636552217067520000000. (End)

%t Table[n^28,{n,0,16}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2010 *)

%t Range[0,16]^28 (* _Harvey P. Dale_, Dec 09 2012 *)

%Y Cf. A010813, A089081, A122968.

%K mult,nonn,easy

%O 0,3

%A _Franklin T. Adams-Watters_, Oct 27 2006