A122968 27th powers: a(n) = n^27.

0, 1, 134217728, 7625597484987, 18014398509481984, 7450580596923828125, 1023490369077469249536, 65712362363534280139543, 2417851639229258349412352, 58149737003040059690390169

Offset

0,3

Links

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

Formula

Totally multiplicative sequence with a(p) = p^27 for prime p. Multiplicative sequence with a(p^e) = p^(27e). - Jaroslav Krizek, Nov 01 2009

From Amiram Eldar, Oct 09 2020: (Start)

Dirichlet g.f.: zeta(s-27).

Sum_{n>=1} 1/a(n) = zeta(27).

Sum_{n>=1} (-1)^(n+1)/a(n) = 67108863*zeta(27)/67108864. (End)

Mathematica

lst={}; Do[AppendTo[lst, n^27], {n, 0, 4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 15 2009 *)
Range[0, 10]^27 (* Harvey P. Dale, Dec 17 2011 *)

Crossrefs

Cf. A010812, A010813, A089081.

Sequence in context: A017373 A017493 A017625 * A323662 A194561 A267059

Adjacent sequences: A122965 A122966 A122967 * A122969 A122970 A122971

Keyword

mult,nonn,easy

Author

Franklin T. Adams-Watters, Oct 27 2006

Status

approved