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A070375 a(n) = 5^n mod 22. 1
1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15, 9, 1, 5, 3, 15 (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 (0,0,0,0,1).

FORMULA

a(n) = (1/50)*{113*(n mod 5)+93*[(n+1) mod 5]-87*[(n+2) mod 5]+53*[(n+3) mod 5]-7*[(n+4) mod 5]}, with n>=0. - Paolo P. Lava, Feb 24 2010

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

a(n) = a(n-5).

G.f.: ( -1-5*x-3*x^2-15*x^3-9*x^4 ) / ( (x-1)*(1+x+x^2+x^3+x^4) ). (End)

MAPLE

A070375:=n->5^n mod 22: seq(A070375(n), n=0..100); # Wesley Ivan Hurt, Mar 13 2016

MATHEMATICA

PowerMod[5, Range[0, 50], 22] (* G. C. Greubel, Mar 13 2016 *)

PROG

(Sage) [power_mod(5, n, 22) for n in xrange(0, 94)] # Zerinvary Lajos, Nov 26 2009

(PARI) a(n)=lift(Mod(5, 22)^n) \\ Charles R Greathouse IV, Mar 22 2016

CROSSREFS

Sequence in context: A213774 A167583 A248983 * A162813 A166465 A146934

Adjacent sequences:  A070372 A070373 A070374 * A070376 A070377 A070378

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified March 30 16:23 EDT 2017. Contains 284302 sequences.