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A105396
A simple "Fractal Jump Sequence" (FJS).
3
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)
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
KEYWORD
base,easy,nonn
AUTHOR
Eric Angelini, May 01 2005
STATUS
approved