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A014391
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Final digit of 8^n.
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0
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1, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6, 8, 4, 2, 6
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 8^n mod 10. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]
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LINKS
| Index entries for sequences related to final digits of numbers
Index to sequences with linear recurrences with constant coefficients, signature (1,-1,1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
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FORMULA
| a(n)=(1/6)*{-(n mod 4)+8*[(n+1) mod 4]+11*[(n+2) mod 4]+2*[(n+3) mod 4]}-5*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2010]
a(n) = +a(n-1) -a(n-2) +a(n-3). G.f.: -(7*x-3*x^2+5*x^3+1)/ ((x-1) * (1+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
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MATHEMATICA
| Table[PowerMod[8, n, 10], {n, 0, 200}] (* From Vladimir Joseph Stephan Orlovsky, Jun 10 2011 *)
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PROG
| (Other) sage: [power_mod(8, n, 10)for n in xrange(0, 105)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]
(MAGMA) [8^n mod 10: n in [0..150]]; // Vincenzo Librandi, Apr 12 2011
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CROSSREFS
| Sequence in context: A154434 A198353 A010523 * A099286 A089729 A173670
Adjacent sequences: A014388 A014389 A014390 * A014392 A014393 A014394
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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