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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A070653 a(n) = n^6 mod 30. 0
0, 1, 4, 9, 16, 25, 6, 19, 4, 21, 10, 1, 24, 19, 16, 15, 16, 19, 24, 1, 10, 21, 4, 19, 6, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 6, 19, 4, 21, 10, 1, 24, 19, 16, 15, 16, 19, 24, 1, 10, 21, 4, 19, 6, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 6, 19, 4, 21, 10, 1, 24, 19, 16, 15, 16, 19, 24, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = A070452(n). [Proof: n^6 - n^2 == 0 (mod 30) is shown explicitly for n=0 to 29, then the induction n->n+30 for the 6th-order polynomial followed by binomial expansion of (n+30)^k concludes that the zero (mod 30) is periodically extended to the other integers.] - R. J. Mathar, Jul 23 2009

LINKS

Table of n, a(n) for n=0..79.

MATHEMATICA

Table[Mod[n^6, 30], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)

PROG

(Sage) [power_mod(n, 6, 30)for n in range(0, 75)] # Zerinvary Lajos, Nov 03 2009

(PARI) a(n)=n^6%30 \\ Charles R Greathouse IV, Apr 06 2016

CROSSREFS

Cf. A070450, A070451, A070452.

Sequence in context: A070454 A070453 A070452 * A304233 A070451 A070450

Adjacent sequences:  A070650 A070651 A070652 * A070654 A070655 A070656

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 13 2002

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 27 06:29 EDT 2022. Contains 357052 sequences. (Running on oeis4.)