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A070395 a(n) = 6^n mod 19. 2
1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9, 16, 1, 6, 17, 7, 4, 5, 11, 9 (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 (0,0,0,0,0,0,0,0,1). [R. J. Mathar, Apr 20 2010]

FORMULA

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

a(n) = a(n-9).

G.f.: ( -1-6*x-17*x^2-7*x^3-4*x^4-5*x^5-11*x^6-9*x^7-16*x^8 ) / ( (x-1)*(1+x+x^2)*(x^6+x^3+1) ). (End)

a(n) = (1/81)*(154*(n mod 9)-44*((n+1) mod 9)+37*((n+2) mod 9)-35*((n+3) mod 9)+10*((n+4) mod 9)+46*((n+5) mod 9)+109*((n+6) mod 9)-80*((n+7) mod 9)-26*((n+8) mod 9)). - Paolo P. Lava, Apr 23 2010

MATHEMATICA

PowerMod[6, Range[0, 50], 19] (* G. C. Greubel, Mar 18 2016 *)

PROG

(Sage) [power_mod(6, n, 19)for n in xrange(0, 89)] # Zerinvary Lajos, Nov 27 2009

(PARI) a(n) = lift(Mod(6, 19)^n); \\ Altug Alkan, Mar 18 2016

CROSSREFS

Sequence in context: A022510 A065776 A120930 * A200871 A112366 A095421

Adjacent sequences:  A070392 A070393 A070394 * A070396 A070397 A070398

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified November 18 10:33 EST 2017. Contains 294887 sequences.