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1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 1, 5, 25, 8, 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). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
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FORMULA
| a(n)=(1/8)*{27*(n mod 4)+47*[(n+1) mod 4]-27*[(n+2) mod 4]+5*[(n+3) mod 4]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2010]
a(n) = +a(n-4). G.f.: ( -1-5*x-25*x^2-8*x^3 ) / ( (x-1)*(1+x)*(x^2+1) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
a(n) = (13*(-1)^n-3*((8+i)*(-i)^n+(8-i)*i^n)+39)/4, where i is the imaginary unit. - Bruno Berselli, Feb 07 2011
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PROG
| (Other) sage: [power_mod(5, n, 39)for n in xrange(0, 93)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2009]
(MAGMA)[5^n mod 39: n in [0..80]]; [From Vincenzo Librandi, Feb 07 2011]
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CROSSREFS
| Sequence in context: A070387 A123748 A050108 * A050084 A070379 A143254
Adjacent sequences: A070383 A070384 A070385 * A070387 A070388 A070389
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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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