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A070384 a(n) = 5^n mod 37. 3
1, 5, 25, 14, 33, 17, 11, 18, 16, 6, 30, 2, 10, 13, 28, 29, 34, 22, 36, 32, 12, 23, 4, 20, 26, 19, 21, 31, 7, 35, 27, 24, 9, 8, 3, 15, 1, 5, 25, 14, 33, 17, 11, 18, 16, 6, 30, 2, 10, 13, 28, 29, 34, 22, 36, 32, 12, 23, 4, 20, 26, 19, 21, 31, 7, 35, 27, 24, 9, 8, 3, 15, 1, 5, 25, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Period: (1, 5, 25, 14, 33, 17, 11, 18, 16, 6, 30, 2, 10, 13, 28, 29, 34, 22, 36, 32, 12, 23, 4, 20, 26, 19, 21, 31, 7, 35, 27, 24, 9, 8, 3, 15) of length 36. [From Zak Seidov, Feb 08 2011]

LINKS

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

FORMULA

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

a(n) = a(n-1) - a(n-18) + a(n-19).

G.f.: ( -1-4*x-20*x^2+11*x^3-19*x^4+16*x^5+6*x^6-7*x^7 +2*x^8+10*x^9 -24*x^10+28*x^11-8*x^12-3*x^13-15*x^14-x^15-5*x^16+12*x^17-15*x^18 ) / ( (x-1)*(x^2+1)*(x^4-x^2+1)*(x^12-x^6+1) ). (End)

a(n) = 37 - a(n-18). - Zak Seidov, Feb 08 2011

a(n) = a(n-36). - G. C. Greubel, Mar 16 2016

MATHEMATICA

a[n_]:=PowerMod[5, n, 37]; Table[a[n], {n, 72}] (* Zak Seidov, Feb 08 2011 *)

PROG

(Sage) [power_mod(5, n, 37) for n in xrange(0, 76)] # Zerinvary Lajos, Nov 26 2009

(PARI) a(n)=lift(Mod(5, 37)^n) \\ M. F. Hasler, Feb 08 2011

(PARI) a(n)=5^(n%36)%37  \\ M. F. Hasler, Feb 08 2011

(MAGMA) [Modexp(5, n, 37): n in [0..100]]; // Vincenzo Librandi, Jun 29 2016

CROSSREFS

Sequence in context: A143254 A070385 A070378 * A070377 A070383 A070061

Adjacent sequences:  A070381 A070382 A070383 * A070385 A070386 A070387

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified March 25 09:33 EDT 2017. Contains 284060 sequences.