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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A036137 a(n) = 5^n mod 97. 3
 1, 5, 25, 28, 43, 21, 8, 40, 6, 30, 53, 71, 64, 29, 48, 46, 36, 83, 27, 38, 93, 77, 94, 82, 22, 13, 65, 34, 73, 74, 79, 7, 35, 78, 2, 10, 50, 56, 86, 42, 16, 80, 12, 60, 9, 45, 31, 58, 96, 92, 72, 69, 54, 76, 89, 57, 91, 67 (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 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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1). FORMULA From G. C. Greubel, Oct 17 2018: (Start) a(n) = a(n-1) - a(n-48) + a(n-49). a(n+96) = a(n). (End) EXAMPLE As 5^5 = 3125 = k * 97 + 21 for some k and 0 <= 21 < 97, a(5) = 21. - David A. Corneth, Oct 17 2018 MAPLE [ seq(primroot(ithprime(i))^j mod ithprime(i), j=0..100) ]; MATHEMATICA PowerMod[5, Range[0, 100], 97] (* G. C. Greubel, Oct 17 2018 *) PROG (PARI) a(n)=lift(Mod(5, 97)^n) \\ Charles R Greathouse IV, Mar 22 2016 (Python) for n in range(0, 100): print(int(pow(5, n, 97)), end=' ') # Stefano Spezia, Oct 17 2018 (GAP) List([0..60], n->PowerMod(5, n, 97)); # Muniru A Asiru, Oct 17 2018 (Magma) [Modexp(5, n, 97): n in [0..100]]; // G. C. Greubel, Oct 18 2018 CROSSREFS Cf. A000351 (5^n). Sequence in context: A136912 A137111 A137110 * A070380 A068574 A000350 Adjacent sequences: A036134 A036135 A036136 * A036138 A036139 A036140 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 22 16:55 EDT 2024. Contains 374540 sequences. (Running on oeis4.)