login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A070389 a(n) = 5^n mod 43. 3
1, 5, 25, 39, 23, 29, 16, 37, 13, 22, 24, 34, 41, 33, 36, 8, 40, 28, 11, 12, 17, 42, 38, 18, 4, 20, 14, 27, 6, 30, 21, 19, 9, 2, 10, 7, 35, 3, 15, 32, 31, 26, 1, 5, 25, 39, 23, 29, 16, 37, 13, 22, 24, 34, 41, 33, 36, 8, 40, 28, 11, 12, 17, 42, 38, 18, 4, 20, 14, 27, 6, 30, 21, 19 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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-21) + a(n-22).

G.f.: ( -1-4*x -20*x^2 -14*x^3 +16*x^4 -6*x^5 +13*x^6-21*x^7 +24*x^8 -9*x^9 -2*x^10 -10*x^11 -7*x^12 +8*x^13 -3*x^14 +28*x^15 -32*x^16 +12*x^17 +17*x^18 -x^19 -5*x^20 -26*x^21 ) / ( (x-1)*(1+x)*(x^2-x+1)*(x^6-x^5+x^4-x^3+x^2-x+1)*(x^12+x^11-x^9-x^8+x^6-x^4-x^3+x+1) ). (End)

a(n) = a(n-42). - G. C. Greubel, Mar 16 2016

MATHEMATICA

PowerMod[5, Range[0, 50], 43] (* G. C. Greubel, Mar 16 2016 *)

PROG

(Sage) [power_mod(5, n, 43) for n in xrange(0, 74)] # Zerinvary Lajos, Nov 26 2009

(PARI) a(n)=lift(Mod(5, 43)^n) \\ Charles R Greathouse IV, Mar 22 2016

(MAGMA) [Modexp(5, n, 43): n in [0..80]]; // Bruno Berselli, Mar 22 2016

CROSSREFS

Sequence in context: A279541 A070390 A018724 * A098993 A099799 A093534

Adjacent sequences:  A070386 A070387 A070388 * A070390 A070391 A070392

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 19 07:02 EST 2017. Contains 294915 sequences.