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A036127 a(n) = 5^n mod 47. 3
1, 5, 25, 31, 14, 23, 21, 11, 8, 40, 12, 13, 18, 43, 27, 41, 17, 38, 2, 10, 3, 15, 28, 46, 42, 22, 16, 33, 24, 26, 36, 39, 7, 35, 34, 29, 4, 20, 6, 30, 9, 45, 37, 44, 32, 19, 1, 5, 25, 31, 14, 23, 21, 11, 8, 40, 12, 13, 18, 43 (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 (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).

FORMULA

a(n) = (n-46). - Vincenzo Librandi, Feb 07 2011

a(n) = a(n-1) - a(n-23) + a(n-24). - R. J. Mathar, Jun 04 2016

a(n) = 47 - a(n+23) for all n in Z. - Michael Somos, Oct 17 2018

MAPLE

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

MATHEMATICA

Mod[5^Range[0, 100], 47]  (* Harvey P. Dale, Mar 09 2011 *)

PROG

(PARI) a(n)=lift(Mod(5, 47)^n) \\ Charles R Greathouse IV, Mar 22 2016

(MAGMA) [Modexp(5, n, 47): n in [0..100]]; // G. C. Greubel, Oct 18 2018

(GAP) List([0..60], n->PowerMod(5, n, 47)); # Muniru A Asiru, Oct 18 2018

CROSSREFS

Cf. A000351 (5^n).

Sequence in context: A000350 A000221 A018612 * A291755 A018639 A029475

Adjacent sequences:  A036124 A036125 A036126 * A036128 A036129 A036130

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 2 18:17 EDT 2020. Contains 334787 sequences. (Running on oeis4.)