A122970 29th powers: a(n) = n^29.

0, 1, 536870912, 68630377364883, 288230376151711744, 186264514923095703125, 36845653286788892983296, 3219905755813179726837607, 154742504910672534362390528, 4710128697246244834921603689, 100000000000000000000000000000, 1586309297171491574414436704891

Offset: 0

Author

Franklin T. Adams-Watters, Oct 27 2006

Keywords

• mult
• nonn
• easy

Comments

The least significant digit of a(n) is the same as the least significant digit of n. - Alonso del Arte, Mar 28 2015

Links

• Amiram Eldar, Table of n, a(n) for n = 0..10000
• Index to divisibility sequences

Crossrefs

Cf. A089081, A122968, A122969.

Programs

Magma

[n^29: n in [0..10]]; // Vincenzo Librandi, Mar 29 2015

Mathematica

Range[0, 9]^29 (* Alonso del Arte, Mar 28 2015 *)

PARI

a(n)=n^29 \\ Charles R Greathouse IV, Jun 28 2015

Formula

Completely multiplicative sequence with a(p) = p^29 for prime p. Multiplicative sequence with a(p^e) = p^(29e). - Jaroslav Krizek, Nov 01 2009

From Amiram Eldar, Oct 09 2020: (Start)

Dirichlet g.f.: zeta(s-29).

Sum_{n>=1} 1/a(n) = zeta(29).

Sum_{n>=1} (-1)^(n+1)/a(n) = 268435455*zeta(29)/268435456. (End)

Extensions

a(10)-a(11) from Michel Marcus, Mar 29 2015