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A036124 2^n mod 37. 2
1, 2, 4, 8, 16, 32, 27, 17, 34, 31, 25, 13, 26, 15, 30, 23, 9, 18, 36, 35, 33, 29, 21, 5, 10, 20, 3, 6, 12, 24, 11, 22, 7, 14, 28, 19, 1, 2, 4, 8, 16, 32, 27, 17, 34, 31, 25, 13, 26, 15, 30, 23, 9, 18, 36, 35, 33, 29, 21, 5 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

REFERENCES

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

FORMULA

a(n)= +a(n-1) -a(n-18) +a(n-19). G.f. ( -1-x-2*x^2-4*x^3-8*x^4-16*x^5+5*x^6+10*x^7-17*x^8+3*x^9+6*x^10+12*x^11-13*x^12+11*x^13-15*x^14+7*x^15+14*x^16-9*x^17-19*x^18 ) / ( (x-1)*(x^2+1)*(x^4-x^2+1)*(x^12-x^6+1) ). - R. J. Mathar, Feb 06 2011

MAPLE

i := pi(37) ; [ seq(primroot(ithprime(i))^j mod ithprime(i), j=0..100) ];

PROG

(Other) sage: [power_mod(2, n, 37)for n in xrange(0, 60)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 03 2009]

(MAGMA) [ 2^n mod 37: n in [0..65]]; // From Vincenzo Librandi, Feb 05 2011

CROSSREFS

Sequence in context: A070348 A130670 A070340 * A070339 A070338 A115423

Adjacent sequences:  A036121 A036122 A036123 * A036125 A036126 A036127

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 15:39 EST 2012. Contains 205635 sequences.