A122969 28th powers: a(n) = n^28.
0, 1, 268435456, 22876792454961, 72057594037927936, 37252902984619140625, 6140942214464815497216, 459986536544739960976801, 19342813113834066795298816, 523347633027360537213511521
Offset: 0
Links
- Amiram Eldar, Table of n, a(n) for n = 0..10000
Programs
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Mathematica
Table[n^28,{n,0,16}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2010 *) Range[0,16]^28 (* Harvey P. Dale, Dec 09 2012 *)
Formula
Totally multiplicative sequence with a(p) = p^28 for prime p. Multiplicative sequence with a(p^e) = p^(28e). - Jaroslav Krizek, Nov 01 2009
From Amiram Eldar, Oct 09 2020: (Start)
Dirichlet g.f.: zeta(s-28).
Sum_{n>=1} 1/a(n) = zeta(28) = 6785560294*Pi^28/564653660170076273671875.
Sum_{n>=1} (-1)^(n+1)/a(n) = 134217727*zeta(28)/134217728 = 65053034220152267*Pi^28/5413323669636552217067520000000. (End)