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A010807 19th powers: a(n) = n^19. 5
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

COMMENTS

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

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

From Ilya Gutkovskiy, Feb 27 2017: (Start)

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

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

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

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Last modified February 17 00:25 EST 2020. Contains 331976 sequences. (Running on oeis4.)