login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A036121 5^n mod 23. 3
1, 5, 2, 10, 4, 20, 8, 17, 16, 11, 9, 22, 18, 21, 13, 19, 3, 15, 6, 7, 12, 14, 1, 5, 2, 10, 4, 20, 8, 17, 16, 11, 9, 22, 18, 21, 13, 19, 3, 15, 6, 7, 12, 14, 1, 5, 2, 10, 4, 20, 8, 17, 16, 11, 9, 22, 18, 21, 13, 19, 3, 15, 6, 7, 12, 14, 1, 5, 2, 10, 4, 20, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

I. M. Vinogradov, Elements of Number Theory, pp. 220 ff.

LINKS

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

FORMULA

a(n) = +a(n-1) -a(n-11) +a(n-12). G.f.: ( -1-4*x+3*x^2-8*x^3+6*x^4-16*x^5+12*x^6-9*x^7+x^8+5*x^9+2*x^10-14*x^11 ) / ( (x-1)*(1+x)*(x^10-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1) ). - R. J. Mathar, Apr 20 2010

a(n) = a(n+22). - R. J. Mathar, Jun 04 2016

MAPLE

with(numtheory): i=9: [ seq(primroot(ithprime(i))^j mod ithprime(i), j=0..100) ];

MATHEMATICA

Mod[5^Range[0, 50], 23] (* Wesley Ivan Hurt, Jul 06 2014 *)

PROG

(Sage) [power_mod(5, n, 23)for n in xrange(0, 63)] # - Zerinvary Lajos, Nov 26 2009

(MAGMA) [Modexp(5, n, 23): n in [0..100]]; // Vincenzo Librandi, Feb 07 2011

(PARI) a(n)=lift(Mod(5, 23)^n) \\ Charles R Greathouse IV, Mar 22 2016

CROSSREFS

Sequence in context: A040024 A196385 A178714 * A162396 A194046 A249368

Adjacent sequences:  A036118 A036119 A036120 * A036122 A036123 A036124

KEYWORD

nonn,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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 4 06:30 EST 2016. Contains 278749 sequences.