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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010812 24th powers: a(n) = n^24. 7
0, 1, 16777216, 282429536481, 281474976710656, 59604644775390625, 4738381338321616896, 191581231380566414401, 4722366482869645213696, 79766443076872509863361, 1000000000000000000000000 (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 (25, -300, 2300, -12650, 53130, -177100, 480700, -1081575, 2042975, -3268760, 4457400, -5200300, 5200300, -4457400, 3268760, -2042975, 1081575, -480700, 177100, -53130, 12650, -2300, 300, -25, 1).

FORMULA

Totally multiplicative sequence with a(p) = p^24 for prime p. Multiplicative sequence with a(p^e) = p^(24e). - Jaroslav Krizek, Nov 01 2009

a(n) = A008456(n)^2. - Michel Marcus, Feb 27 2018

From Amiram Eldar, Oct 09 2020: (Start)

Dirichlet g.f.: zeta(s-24).

Sum_{n>=1} 1/a(n) = zeta(24) = 236364091*Pi^24/201919571963756521875.

Sum_{n>=1} (-1)^(n+1)/a(n) = 8388607*zeta(24)/8388608 = 1982765468311237*Pi^24/1693824136731743669452800000. (End)

MATHEMATICA

Range[0, 10]^24 (* Harvey P. Dale, Sep 04 2017 *)

PROG

(MAGMA) [n^24: n in [0..15]]; // Vincenzo Librandi, Jun 19 2011

(PARI) a(n) = n^24; \\ Michel Marcus, Feb 27 2018

CROSSREFS

Cf. A008456 (n^12).

Sequence in context: A016812 A016908 A017712 * A016968 A017040 A118063

Adjacent sequences:  A010809 A010810 A010811 * A010813 A010814 A010815

KEYWORD

nonn,mult,easy

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 January 18 18:55 EST 2021. Contains 340262 sequences. (Running on oeis4.)