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A070381 a(n) = 5^n mod 33. 1
1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1). [R. J. Mathar, Apr 20 2010]

FORMULA

a(n) = (1/30)*{68*(n mod 10)-37*[(n+1) mod 10]+41*[(n+2) mod 10]+17*[(n+3) mod 10]+32*[(n+4) mod 10]+35*[(n+5) mod 10]-4*[(n+6) mod 10]+8*[(n+7) mod 10]-49*[(n+8) mod 10]-[(n+9) mod 10]}, with n>=0. - Paolo P. Lava, Apr 16 2010

From R. J. Mathar, Apr 20 2010: (Start)

a(n) = a(n-10).

G.f.: ( -1-5*x-25*x^2-26*x^3-31*x^4-23*x^5-16*x^6-14*x^7-4*x^8-20*x^9 ) / ( (x-1)*(1+x)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1) ). (End)

MATHEMATICA

PowerMod[5, Range[0, 80], 33] (* or *) PadRight[{}, 80, {1, 5, 25, 26, 31, 23, 16, 14, 4, 20}] (* Harvey P. Dale, Jan 21 2014 *)

PROG

(Sage) [power_mod(5, n, 33) for n in xrange(0, 77)] # Zerinvary Lajos, Nov 26 2009

(PARI) a(n) = lift(Mod(5, 33)^n); \\ Altug Alkan, Mar 16 2016

CROSSREFS

Sequence in context: A043057 A137112 A037410 * A136912 A137111 A137110

Adjacent sequences:  A070378 A070379 A070380 * A070382 A070383 A070384

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified May 22 13:18 EDT 2017. Contains 286872 sequences.