login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010808 20th powers: a(n) = n^20. 6
0, 1, 1048576, 3486784401, 1099511627776, 95367431640625, 3656158440062976, 79792266297612001, 1152921504606846976, 12157665459056928801, 100000000000000000000, 672749994932560009201, 3833759992447475122176 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Totally multiplicative sequence with a(p) = p^20 for prime p. Multiplicative sequence with a(p^e) = p^(20e). - 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 (21, -210, 1330, -5985, 20349, -54264, 116280, -203490, 293930, -352716, 352716, -293930, 203490, -116280, 54264, -20349, 5985, -1330, 210, -21, 1).

FORMULA

From Ilya Gutkovskiy, Feb 27 2017: (Start)

Dirichlet g.f.: zeta(s-20).

Sum_{n>=1} 1/a(n) = 174611*Pi^20/1531329465290625 = A013678. (End)

PROG

(MAGMA) [n^20: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011

CROSSREFS

Cf. A013678.

Sequence in context: A016810 A016906 A017704 * A016966 A017038 A017122

Adjacent sequences:  A010805 A010806 A010807 * A010809 A010810 A010811

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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