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

3,1

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

Table of n, a(n) for n=3..107.

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

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)

Crossrefs

Equals 3*A130196.

Sequence in context: A354952 A016662 A258271 * A247685 A372367 A185735

Adjacent sequences: A105393 A105394 A105395 * A105397 A105398 A105399

Keyword

base,easy,nonn

Author

Eric Angelini, May 01 2005

Status

approved