A105396 A simple "Fractal Jump Sequence" (FJS).

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, 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, 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

Offset: 3

Author

Eric Angelini, May 01 2005

Keywords

• base
• easy
• nonn

Comments

See A105397 for definition of Fractal Jump Sequence.

From Vincenzo Librandi, Nov 13 2010: (Start)

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

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

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

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

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

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

Links

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

Crossrefs

Equals 3*A130196.

Formula

From Robert Israel, Aug 04 2019: (Start)

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

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