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A036130 a(n) = 2^n mod 61. 4
1, 2, 4, 8, 16, 32, 3, 6, 12, 24, 48, 35, 9, 18, 36, 11, 22, 44, 27, 54, 47, 33, 5, 10, 20, 40, 19, 38, 15, 30, 60, 59, 57, 53, 45, 29, 58, 55, 49, 37, 13, 26, 52, 43, 25, 50, 39, 17, 34, 7, 14, 28, 56, 51, 41, 21, 42, 23, 46 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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

LINKS

Muniru A Asiru, 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,-1,1).

FORMULA

a(n) = a(n+60). - R. J. Mathar, Jun 04 2016

a(n) = a(n-1) - a(n-30) + a(n-31). - G. C. Greubel, Oct 17 2018

MAPLE

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

MATHEMATICA

PowerMod[2, Range[0, 100], 61] (* G. C. Greubel, Oct 17 2018 *)

PROG

(PARI) a(n)=lift(Mod(2, 61)^n) \\ Charles R Greathouse IV, Mar 22 2016

(MAGMA) [Modexp(2, n, 61): n in [0..100]]; // G. C. Greubel, Oct 17 2018

(GAP) a:=List([0..70], n->PowerMod(2, n, 61));; Print(a); # Muniru A Asiru, Jan 29 2019

CROSSREFS

Sequence in context: A239561 A010747 A318776 * A122169 A114183 A036129

Adjacent sequences:  A036127 A036128 A036129 * A036131 A036132 A036133

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 9 20:46 EDT 2020. Contains 333363 sequences. (Running on oeis4.)