A010807 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A010807

19th powers: a(n) = n^19.

0, 1, 524288, 1162261467, 274877906944, 19073486328125, 609359740010496, 11398895185373143, 144115188075855872, 1350851717672992089, 10000000000000000000, 61159090448414546291, 319479999370622926848, 1461920290375446110677, 5976303958948914397184

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).

FORMULA

a(n) is a totally multiplicative sequence (and is therefore multiplicative as well). - Jaroslav Krizek, Nov 01 2009

From Ilya Gutkovskiy, Feb 27 2017: (Start)

Dirichlet g.f.: zeta(s-19).

Sum_{n>=1} 1/a(n) = zeta(19) = A013677. (End)

Sum_{n>=1} (-1)^(n+1)/a(n) = 262143*zeta(19)/262144. - Amiram Eldar, Oct 09 2020

MAPLE

A010807:=n->n^19: seq(A010807(n), n=0..20); # Wesley Ivan Hurt, Jul 13 2014

MATHEMATICA

Range[0, 20]^19 (* Wesley Ivan Hurt, Jul 13 2014 *)

PROG

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

(Haskell)

a010807 = (^ 19) -- Reinhard Zumkeller, Sep 29 2014

CROSSREFS

Cf. A013677, A247894 ([sqrt(a(n))]).

Sequence in context: A222530 A069280 A017702 * A236227 A320345 A017701

Adjacent sequences: A010804 A010805 A010806 * A010808 A010809 A010810

KEYWORD

nonn,mult,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved