A141726 Sawtooth with period length 9: repeat 8, 7, 6, 5, 4, 3, 2, 1, 0.

8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 8, 7, 6, 5, 4, 3

Offset: 1

Author

Paul Curtz, Sep 13 2008

Keywords

• nonn
• easy

Comments

Continued fraction expansion of (23342+5*sqrt(44403565))/6961.

Decimal expansion of 973936900/111111111.

Crossrefs

Cf. A010878.

Programs

Mathematica

PadRight[{},120,Range[8,0,-1]] (* Harvey P. Dale, Dec 23 2020 *)

Python

def A141726(n): return (0, 8, 7, 6, 5, 4, 3, 2, 1)[n%9] # Chai Wah Wu, Jan 10 2023

Formula

a(n) = a(n-9).

G.f.: -x*(8+7*x+6*x^2+5*x^3+4*x^4+3*x^5+2*x^6+x^7)/((x-1)*(1+x+x^2)*(x^6+x^3+1)).

Extensions

Index in c-sequence corrected by R. J. Mathar, Sep 11 2009