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A070367 5^n mod 11. 3
1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]

FORMULA

a(n)=(1/25)*{51*(n mod 5)-14*[(n+1) mod 5]+6*[(n+2) mod 5]+21*[(n+3) mod 5]-9*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 24 2010]

a(n) = +a(n-5). G.f.: ( -1-5*x-3*x^2-4*x^3-9*x^4 ) / ( (x-1)*(1+x+x^2+x^3+x^4) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]

PROG

(Other) sage: [power_mod(5, n, 11)for n in xrange(0, 101)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 25 2009]

(MAGMA) [5^n mod 11: n in [0..90]]; // From Vincenzo Librandi, Feb 06 2011

CROSSREFS

Sequence in context: A004162 A109681 A196406 * A086308 A198132 A117967

Adjacent sequences:  A070364 A070365 A070366 * A070368 A070369 A070370

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 12 2002

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.