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 A096230 Period 5: repeat [9, 7, 5, 3, 1]. 1

%I

%S 9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,

%T 1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,

%U 3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1,9,7,5,3,1

%N Period 5: repeat [9, 7, 5, 3, 1].

%C Terms of the simple continued fraction of 2102/(sqrt(2235029)-1265). - _Paolo P. Lava_, Aug 05 2009

%C Decimal expansion of 9 + 1/2 + 1/4 + 1/313 + 1/378244 + 1/2959729702407 = 975310/99999. - _Bruno Berselli_, Oct 02 2018

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1).

%F a(n) = 1 + 2*(-n mod 5). [From Wilson Mathematica program (2004)]

%F a(n) = (1/10)*(-11*(n mod 5) + 9*((n+1) mod 5) + 9*((n+2) mod 5) + 9*((n+3) mod 5) + 9*((n+4) mod 5)). - _Paolo P. Lava_, Nov 27 2006

%F a(n) = 9 - (2*(n-1) mod 10). [From Greathouse PARI program (2014)]

%F From _Robert Israel_, Jul 16 2015: (Start)

%F G.f.: (9 + 7*x + 5*x^2 + 3*x^3 + x^4)/(1 - x^5).

%F a(n) = a(n-5).

%F a(n) + a((a(n)+1)/2) = 10. (End)

%p map(op,[[9,7,5,3,1]\$20]); # _Robert Israel_, Jul 16 2015

%t Table[2 Mod[-n, 5] + 1, {n, 105}] (* _Robert G. Wilson v_, Jul 31 2004 *)

%t PadRight[{}, 120, {9, 7, 5, 3, 1}] (* _Harvey P. Dale_, Dec 19 2012 *)

%o (PARI) a(n) = 9 - 2*(n-1)%10; \\ _Charles R Greathouse IV_, Aug 25 2014

%o (MAGMA) &cat [[9, 7, 5, 3, 1]: n in [0..20]]; // _Vincenzo Librandi_, Jul 16 2015

%K nonn,easy

%O 1,1

%A _Odimar Fabeny_, Jul 29 2004

%E Edited by _N. J. A. Sloane_ and _Robert G. Wilson v_, Jul 31 2004

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)