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A070385 a(n) = 5^n mod 38. 1
1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23, 1, 5, 25, 11, 17, 9, 7, 35, 23 (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

a(n) = (1/324)*{925*(n mod 9)+565*[(n+1) mod 9]-875*[(n+2) mod 9]+205*[(n+3) mod 9]+421*[(n+4) mod 9]-83*[(n+5) mod 9]+637*[(n+6) mod 9]-587*[(n+7) mod 9]-11*[(n+8) mod 9]}, with n>=0. - Paolo P. Lava, Apr 16 2010

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

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

G.f.: ( -1-5*x-25*x^2-11*x^3-17*x^4-9*x^5-7*x^6-35*x^7-23*x^8 ) / ( (x-1)*(1+x+x^2)*(x^6+x^3+1) ). (End)

MATHEMATICA

PowerMod[5, Range[0, 50], 38] (* G. C. Greubel, Mar 16 2016 *)

PROG

(Sage) [power_mod(5, n, 38) for n in xrange(0, 81)] # Zerinvary Lajos, Nov 26 2009

(PARI) a(n) = lift(Mod(5, 38)^n); \\ Altug Alkan, Mar 16 2016

CROSSREFS

Sequence in context: A050084 A070379 A143254 * A070378 A070384 A070377

Adjacent sequences:  A070382 A070383 A070384 * A070386 A070387 A070388

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified November 22 08:57 EST 2017. Contains 295076 sequences.