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A070389 5^n mod 43. 1
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; internal format)
OFFSET

0,2

FORMULA

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) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]

PROG

(Other) sage: [power_mod(5, n, 43)for n in xrange(0, 74)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2009]

(MAGMA)[5^n mod 43: n in [0..80]]; [From Vincenzo Librandi, Feb 07 2011]

CROSSREFS

Sequence in context: A084967 A070390 A018724 * A098993 A099799 A093534

Adjacent sequences:  A070386 A070387 A070388 * A070390 A070391 A070392

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), May 12 2002

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Last modified February 14 16:11 EST 2012. Contains 205635 sequences.