A122969 28th powers: a(n) = n^28.

0, 1, 268435456, 22876792454961, 72057594037927936, 37252902984619140625, 6140942214464815497216, 459986536544739960976801, 19342813113834066795298816, 523347633027360537213511521

Offset

0,3

Links

Amiram Eldar, Table of n, a(n) for n = 0..10000

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)

Mathematica

Table[n^28, {n, 0, 16}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2010 *)
Range[0, 16]^28 (* Harvey P. Dale, Dec 09 2012 *)

Crossrefs

Cf. A010813, A089081, A122968.

Sequence in context: A195237 A194936 A195253 * A137492 A105014 A233622

Adjacent sequences: A122966 A122967 A122968 * A122970 A122971 A122972

Keyword

mult,nonn,easy

Author

Franklin T. Adams-Watters, Oct 27 2006

Status

approved