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A070410 7^n mod 25. 0
1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18, 1, 7, 24, 18 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (1,-1,1).

FORMULA

a(n)=(1/12)*{76*(n mod 4)+43*[(n+1) mod 4]-26*[(n+2) mod 4]+7*[(n+3) mod 4]}, with n>=0. a(n)=(25/2)-(23/4-11/4*I)*I^n-(23/4+11/4*I)*(-I)^n, with n>=0 and I=sqrt(-1). [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 25 2010]

a(n) = +a(n-1) -a(n-2) +a(n-3). G.f.: ( -1-6*x-18*x^2 ) / ( (x-1)*(1+x^2) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]

a(n)=25-a(n-2), n>=2. [From Vincenzo Librandi, Feb 08 2011]

PROG

(Other) sage: [power_mod(7, n, 25)for n in xrange(0, 84)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]

(MAGMA)[7^n mod 25: n in [0..80]]; // From Vincenzo Librandi, Feb 08 2011

CROSSREFS

Sequence in context: A124985 A126612 A196113 * A077035 A076602 A076673

Adjacent sequences:  A070407 A070408 A070409 * A070411 A070412 A070413

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.