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A070430
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a(n) = n^2 mod 5.
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12
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0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 4, 1, 0
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OFFSET
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0,3
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COMMENTS
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Equivalently n^6 mod 5. - Zerinvary Lajos, Nov 06 2009
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LINKS
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Table of n, a(n) for n=0..100.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1).
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FORMULA
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From R. J. Mathar, Apr 20 2010: (Start)
a(n) = a(n-5).
G.f.: -x*(1+x)*(x^2+3*x+1) / ( (x-1)*(1+x+x^2+x^3+x^4) ). (End)
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MATHEMATICA
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Table[Mod[n^2, 5], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 21 2011 *)
PowerMod[Range[0, 200], 2, 5] (* G. C. Greubel, Mar 22 2016 *)
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PROG
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(Sage) [power_mod(n, 2, 5)for n in range(0, 101)] # Zerinvary Lajos, Nov 06 2009
(Sage) [power_mod(n, 6, 5)for n in range(0, 101)] # Zerinvary Lajos, Nov 06 2009
(PARI) a(n)=n^2%5 \\ Charles R Greathouse IV, Sep 28 2015
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CROSSREFS
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Cf. A053879, A070431, A070432.
Sequence in context: A260043 A185057 A048152 * A336302 A163353 A164612
Adjacent sequences: A070427 A070428 A070429 * A070431 A070432 A070433
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, May 12 2002
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STATUS
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approved
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