A135449 Period 5: repeat [1, 9, -7, 3, 5].

1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1, 9, -7, 3, 5, 1

Offset

0,2

Links

Table of n, a(n) for n=0..95.

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

Formula

a(n) == 9a(n-1) mod 11.

O.g.f.: -(1+9*x-7*x^2+3*x^3+5*x^4)/((x-1)*(1+x+x^2+x^3+x^4)). - R. J. Mathar, Jan 07 2008

Maple

A135449 := proc(n) op((n mod 5)+1, [1, 9, -7, 3, 5]) ; end: seq(A135449(n), n=0..150) ; # R. J. Mathar, Feb 07 2009]

Prog

(PARI) a(n)=[1, 9, -7, 3, 5][n%5+1] \\ Charles R Greathouse IV, Jun 02 2011

Crossrefs

Sequence in context: A251734 A033873 A260880 * A060388 A081821 A164102

Adjacent sequences: A135446 A135447 A135448 * A135450 A135451 A135452

Keyword

sign,easy,less

Author

Paul Curtz, Dec 14 2007

Extensions

More periods from R. J. Mathar, Feb 07 2009

Status

approved