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1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5, 25, 37, 9, 1, 5
(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 (0,0,0,0,1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
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FORMULA
| a(n)=(1/50)*{157*(n mod 5)+357*[(n+1) mod 5]-43*[(n+2) mod 5]-123*[(n+3) mod 5]+37*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Apr 16 2010]
a(n) = +a(n-5). G.f.: ( -1-5*x-25*x^2-37*x^3-9*x^4 ) / ( (x-1)*(1+x+x^2+x^3+x^4) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2010]
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MATHEMATICA
| PowerMod[5, Range[0, 90], 44] (* or *) LinearRecurrence[{0, 0, 0, 0, 1}, {1, 5, 25, 37, 9}, 90] (* From Harvey P. Dale, Apr 21 2011 *)
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PROG
| (Other) sage: [power_mod(5, n, 44)for n in xrange(0, 87)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 26 2009]
(MAGMA)[5^n mod 44: n in [0..80]]; [From Vincenzo Librandi, Feb 07 2011]
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CROSSREFS
| Sequence in context: A029475 A070391 A084967 * A018724 A070389 A098993
Adjacent sequences: A070387 A070388 A070389 * A070391 A070392 A070393
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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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