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

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

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index to divisibility sequences

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)

Mathematica

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

Prog

(Magma) [n^26: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011
(PARI) a(n)=n^26 \\ Charles R Greathouse IV, Jun 28 2015

Crossrefs

Cf. A008454-A008456, A010801-A010813.

Sequence in context: A138085 A263392 A011576 * A161774 A203670 A353203

Adjacent sequences: A089078 A089079 A089080 * A089082 A089083 A089084

Keyword

nonn,mult,easy

Author

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

Status

approved