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!)
A036125 a(n) = 6^n mod 41. 1
1, 6, 36, 11, 25, 27, 39, 29, 10, 19, 32, 28, 4, 24, 21, 3, 18, 26, 33, 34, 40, 35, 5, 30, 16, 14, 2, 12, 31, 22, 9, 13, 37, 17, 20, 38, 23, 15, 8, 7, 1, 6, 36, 11, 25, 27, 39, 29, 10, 19, 32, 28, 4, 24, 21, 3, 18, 26, 33, 34 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,-1,1).

FORMULA

a(n) = a(n+40). - R. J. Mathar, Jun 04 2016

a(n) = a(n-1) - a(n-20) + a(n-21). - G. C. Greubel, Oct 16 2018

a(n) = 41 - a(n+20) for all n in Z. - Michael Somos, Oct 17 2018

MAPLE

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

MATHEMATICA

PowerMod[6, Range[0, 60], 41] (* Harvey P. Dale, Jul 08 2017 *)

PROG

(PARI) a(n)=lift(Mod(6, 41)^n) \\ Charles R Greathouse IV, Mar 22 2016

(MAGMA) [Modexp(6, n, 41): n in [0..100]]; // G. C. Greubel, Oct 16 2018

(GAP) List([0..65], n->PowerMod(6, n, 41)); # Muniru A Asiru, Oct 18 2018

CROSSREFS

Cf. A000400 (6^n).

Sequence in context: A304255 A050112 A250202 * A001311 A137868 A070401

Adjacent sequences:  A036122 A036123 A036124 * A036126 A036127 A036128

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 19 10:53 EDT 2021. Contains 347556 sequences. (Running on oeis4.)