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1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1, 7, 4, 13, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,1).
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FORMULA
| a(n)=(1/24)*{97*(n mod 4)-29*[(n+1) mod 4]+43*[(n+2) mod 4]-11*[(n+3) mod 4]}, with n>=0. a(n)=(25/4)-(3/4-3/2*I)*I^n-15/4*(-1)^n-(3/4+3/2*I)*(-I)^n, with n>=0 and I=sqrt(-1). [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 25 2010]
a(n) = +a(n-4). G.f.: ( -1-7*x-4*x^2-13*x^3 ) / ( (x-1)*(1+x)*(1+x^2) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
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PROG
| (Other) sage: [power_mod(7, n, 15)for n in xrange(0, 93)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]
(MAGMA)[7^n mod 15: n in [0..80]]; // From Vincenzo Librandi, Feb 08 2011
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CROSSREFS
| Sequence in context: A069199 A138339 A107827 * A181138 A063632 A147601
Adjacent sequences: A070403 A070404 A070405 * A070407 A070408 A070409
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 12 2002
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