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

0,3

Comments

Represents also the decimal expansion of 447668335336223/37037037037037037.

Links

Table of n, a(n) for n=0..53.

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).

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

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 *)

Crossrefs

Cf. A154811.

Sequence in context: A243443 A096609 A318136 * A019658 A366164 A021483

Adjacent sequences: A168034 A168035 A168036 * A168038 A168039 A168040

Keyword

nonn,easy

Author

Paul Curtz, Nov 17 2009

Status

approved