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A105398 A simple "Fractal Jump Sequence" (FJS). 4
4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

COMMENTS

See A105397 for definition of Fractal Jump Sequence.

Continued fraction expansion of (4+3*sqrt(2))/2. - Bruno Berselli, Nov 09 2011

Period 2: repeat [4, 8]. - Wesley Ivan Hurt, Feb 12 2017

LINKS

Table of n, a(n) for n=4..108.

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

FORMULA

G.f.: -4*x^4*(1+2*x) / ( (x-1)*(1+x) ). - R. J. Mathar, Jul 07 2011

a(n) = a(-n) = a(n-2) = 2*(3-(-1)^n) = 2^((5-(-1)^n)/2). - Bruno Berselli, Nov 09 2011

MAPLE

A105398:=n->2*(3-(-1)^n): seq(A105398(n), n=0..150); # Wesley Ivan Hurt, Feb 12 2017

MATHEMATICA

PadRight[{}, 110, {4, 8}] (* Harvey P. Dale, Nov 09 2011 *)

PROG

(Sage) [power_mod(2, n, 12)for n in xrange(2, 108)] # Zerinvary Lajos, Nov 03 2009

(Maxima) makelist(if evenp(n) then 4 else 8, n, 0, 30); /* Martin Ettl, Nov 12 2012 */

CROSSREFS

Cf. A105397.

Sequence in context: A019838 A155970 A010713 * A005883 A055026 A205681

Adjacent sequences:  A105395 A105396 A105397 * A105399 A105400 A105401

KEYWORD

nonn,base,easy

AUTHOR

Eric Angelini, May 01 2005

STATUS

approved

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Last modified July 16 12:19 EDT 2019. Contains 325079 sequences. (Running on oeis4.)