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1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1, 5, 12, 8, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| 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)=(1/12)*{34*(n mod 4)+25*[(n+1) mod 4]-8*[(n+2) mod 4]+[(n+3) mod 4]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 24 2010]
a(n) = +a(n-1) -a(n-2) +a(n-3). G.f.: ( -1-4*x-8*x^2 ) / ( (x-1)*(1+x^2) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
a(n) = (26-(11+3*I)*(-I)^n-(11-3*I)*I^n)/4, where I is the imaginary unit. - Bruno Berselli, Feb 07 2011
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PROG
| (Other) sage: [power_mod(5, n, 13)for n in xrange(0, 93)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2009]
(MAGMA) [5^n mod 13: n in [0..80]]; // From Vincenzo Librandi, Feb 07 2011
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CROSSREFS
| Sequence in context: A046610 A009842 A169729 * A066326 A015242 A009415
Adjacent sequences: A070365 A070366 A070367 * A070369 A070370 A070371
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 12 2002
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