A146079 Period 9: repeat 2,4,8,5,4,5,8,4,2.

2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5, 8, 4, 2, 2, 4, 8, 5, 4, 5

Offset

0,1

Comments

Also the decimal expansion of 82848614/333333333 or the continued fraction rep. of (252629+sqrt(142904412730))/281217.

Palindromic symmetry: a(9k+i) = a(9k+8-i).

Links

Table of n, a(n) for n=0..104.

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

Formula

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

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

a(n) = n^2 + n + 2 (mod 9). [Arkadiusz Wesolowski, Jul 03 2012]

Mathematica

Flatten@Table[{2, 4, 8, 5, 4, 5, 8, 4, 2}, {10}] (* Arkadiusz Wesolowski, Jul 03 2012 *)
PadRight[{}, 120, {2, 4, 8, 5, 4, 5, 8, 4, 2}] (* Harvey P. Dale, Jan 25 2016 *)

Crossrefs

Sequence in context: A163339 A364611 A092892 * A165669 A227818 A300890

Adjacent sequences: A146076 A146077 A146078 * A146080 A146081 A146082

Keyword

nonn,easy

Author

Paul Curtz, Oct 27 2008

Extensions

Unrelated comments removed by R. J. Mathar, Sep 07 2009

Status

approved