%I #18 Jul 03 2023 07:55:09

%S 3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,

%T 6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,

%U 6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6,3,6,6

%N A simple "Fractal Jump Sequence" (FJS).

%C See A105397 for definition of Fractal Jump Sequence.

%C From _Vincenzo Librandi_, Nov 13 2010: (Start)

%C First digit after the decimal point in the decimal expansion of (n^2 - 2)/3 (with n > 2). Examples:

%C for n=3, (3^2-2)/3 = 2.(3);

%C for n=4, (4^2-2)/3 = 4.(6);

%C for n=5, (5^2-2)/3 = 7.(6);

%C for n=6, (6^2-2)/3 = 11.(3);

%C for n=7, (7^2-2)/3 = 15.(6). (End)

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1).

%F From _Robert Israel_, Aug 04 2019: (Start)

%F a(n)=3 if 3|n, otherwise a(n)=6.

%F G.f.: 3*(1+2*x+2*x^2)*x^3/(1-x^3). (End)

%Y Equals 3*A130196.

%K base,easy,nonn

%O 3,1

%A _Eric Angelini_, May 01 2005