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A070416 7^n mod 32. 0
1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23, 1, 7, 17, 23 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,1).

FORMULA

Contribution from Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2010: (Start)

a(n)=(1/2)*{15*(n mod 4)+[(n+1) mod 4]-[(n+2) mod 4]+[(n+3) mod 4]}, with n>=0.

a(n)=12-4*(1-I)*I^n-3*(-1)^n-4*(1+I)*(-I)^n, with n>=0 and I=sqrt(-1). (End)

a(n) = +a(n-4). G.f.: ( -1-7*x-17*x^2-23*x^3 ) / ( (x-1)*(1+x)*(1+x^2) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]

PROG

(Other) sage: [power_mod(7, n, 32)for n in xrange(0, 84)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]

(MAGMA)[7^n mod 32: n in [0..80]]; // From Vincenzo Librandi, Feb 08 2011

CROSSREFS

Sequence in context: A053746 A144695 A125244 * A087168 A191087 A032454

Adjacent sequences:  A070413 A070414 A070415 * A070417 A070418 A070419

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 13:02 EST 2012. Contains 205909 sequences.