A089081 26th powers: a(n) = n^26.

0, 1, 67108864, 2541865828329, 4503599627370496, 1490116119384765625, 170581728179578208256, 9387480337647754305649, 302231454903657293676544, 6461081889226673298932241, 100000000000000000000000000

Offset: 0

Author

Douglas Winston (douglas.winston(AT)srupc.com), Dec 04 2003

Keywords

• nonn
• mult
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index to divisibility sequences

Crossrefs

Cf. A008454-A008456, A010801-A010813.

Programs

Magma

[n^26: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011

Mathematica

Range[0, 9]^26 (* Alonso del Arte, Apr 26 2015 *)

PARI

a(n)=n^26 \\ Charles R Greathouse IV, Jun 28 2015

Formula

a(n) = n^26.

Completely multiplicative sequence with a(p) = p^26 for prime p. Multiplicative sequence with a(p^e) = p^(26e). - Jaroslav Krizek, Nov 01 2009

From Amiram Eldar, Oct 09 2020: (Start)

Dirichlet g.f.: zeta(s-26).

Sum_{n>=1} 1/a(n) = zeta(26) = 1315862*Pi^26/11094481976030578125.

Sum_{n>=1} (-1)^(n+1)/a(n) = 33554431*zeta(26)/33554432 = 22076500342261*Pi^26/186134520519971831808000000. (End)