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1, 2, 4, 8, 16, 3, 6, 12, 24, 19, 9, 18, 7, 14, 28, 27, 25, 21, 13, 26, 23, 17, 5, 10, 20, 11, 22, 15, 1, 2, 4, 8, 16, 3, 6, 12, 24, 19, 9, 18, 7, 14, 28, 27, 25, 21, 13, 26, 23, 17, 5, 10, 20, 11, 22, 15, 1, 2, 4, 8, 16, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The sequence is 28-periodic.
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REFERENCES
| I. M. Vinogradov, Elements of Number Theory, pp. 220 ff.
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FORMULA
| a(n)= +a(n-1) -a(n-14) +a(n-15). G.f. ( -1-x-2*x^2-4*x^3-8*x^4+13*x^5-3*x^6-6*x^7-12*x^8+5*x^9+10*x^10-9*x^11+11*x^12-7*x^13-15*x^14 ) / ( (x-1)*(x^2+1)*(x^12-x^10+x^8-x^6+x^4-x^2+1) ). - R. J. Mathar, Feb 06 2011
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MAPLE
| i := pi(29) ; [ seq(primroot(ithprime(i))^j mod ithprime(i), j=0..100) ];
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MATHEMATICA
| Mod[#, 29]&/@(2^Range[0, 100]) (* From Harvey P. Dale, Mar 3 2011 *)
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PROG
| (Other) sage: [power_mod(2, n, 29)for n in xrange(0, 62)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 03 2009]
(MAGMA) [ 2^n mod 29: n in [0..65]]; // From Vincenzo Librandi, Feb 05 2011
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CROSSREFS
| Sequence in context: A110333 A069783 A102251 * A050124 A101943 A110001
Adjacent sequences: A036119 A036120 A036121 * A036123 A036124 A036125
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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