A168037 Period length 18: repeat 0,1,2,0,8,7,0,4,5,0,5,4,0,7,8,0,2,1.

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

Offset: 0

Author

Paul Curtz, Nov 17 2009

Keywords

• nonn
• easy

Comments

Represents also the decimal expansion of 447668335336223/37037037037037037.

Links

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

Crossrefs

Cf. A154811.

Programs

Mathematica

PadRight[{},60,{0,1,2,0,8,7,0,4,5,0,5,4,0,7,8,0,2,1}] (* Harvey P. Dale, Jan 17 2021 *)

Formula

a(n) = A129194(n) mod 9.

a(n) = a(n-18).

a(n+1) = a(17-n), 0<=n<= 16, palindromic.

G.f. ( -x*(1+2*x+8*x^3+7*x^4+4*x^6+5*x^7+5*x^9+4*x^10+7*x^12+8*x^13+2*x^15+x^16) ) / ( (x-1)*(1+x+x^2)*(1+x^3+x^6)*(1+x)*(1-x+x^2)*(1-x^3+x^6) ). - R. J. Mathar, Jan 22 2011