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%I #28 Feb 19 2024 01:51:29
%S 1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,
%T 5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,
%U 4,5,1,2,3,4,5,1,2,3,4,5,1
%N Period 5: repeat [1,2,3,4,5].
%C Partial sums are given by A130483(n)+n+1. - _Hieronymus Fischer_, Jun 08 2007
%C 4115/33333 = 0.12345123451234512345... - _Eric Desbiaux_, Nov 03 2008
%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 + (n mod 5). - _Paolo P. Lava_, Nov 21 2006
%F From _Hieronymus Fischer_, Jun 08 2007: (Start)
%F G.f.: (5*x^4+4*x^3+3*x^2+2*x+1)/(1-x^5) = (5*x^6-6*x^5+1)/((1-x^5)*(1-x)^2).
%F a(n) = A010874(n)+1. (End)
%F a(n) = a(n-5). - _Wesley Ivan Hurt_, Jan 15 2022
%t PadRight[{},120,Range[5]] (* _Harvey P. Dale_, Dec 08 2018 *)
%o (PARI) a(n)=n%5+1 \\ _Charles R Greathouse IV_, Jul 13 2016
%Y Cf. A010872, A010873, A010874, A010875, A010876, A004526, A002264, A002265, A002266.
%Y Cf. A177038 (decimal expansion of (195+sqrt(65029))/314).
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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