A010884 Period 5: repeat [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, 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, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Partial sums are given by A130483(n)+n+1. - Hieronymus Fischer, Jun 08 2007

4115/33333 = 0.12345123451234512345... - Eric Desbiaux, Nov 03 2008

Links

• Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1).

Crossrefs

Cf. A010872, A010873, A010874, A010875, A010876, A004526, A002264, A002265, A002266.

Cf. A177038 (decimal expansion of (195+sqrt(65029))/314).

Programs

Mathematica

PadRight[{},120,Range[5]] (* Harvey P. Dale, Dec 08 2018 *)

PARI

a(n)=n%5+1 \\ Charles R Greathouse IV, Jul 13 2016

Formula

a(n) = 1 + (n mod 5). - Paolo P. Lava, Nov 21 2006

From Hieronymus Fischer, Jun 08 2007: (Start)

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).

a(n) = A010874(n)+1. (End)

a(n) = a(n-5). - Wesley Ivan Hurt, Jan 15 2022