login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105565 a(n) = if (exactly 5 Fibonacci numbers exist with exactly n digits) then 1, otherwise 0. 4
0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The sequence is almost periodic, see also A105566;

a(n) = 1 - A105563(n) for n > 1.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

Martin Burtscher, Igor Szczyrba, Rafał Szczyrba, Analytic Representations of the n-anacci Constants and Generalizations Thereof, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.5.

Jürgen Spilker, Die Ziffern der Fibonacci-Zahlen, Elemente der Mathematik 58 (Birkhäuser 2003).

Eric Weisstein's World of Mathematics, Fibonacci Number

Eric Weisstein's World of Mathematics, Almost Periodic Function

MAPLE

n:= 1: count:= 2: a:= 0: b:= 1:

for m from 2 while n < 101 do

  c:= b; b:= a+b; a:= c;

  s:= ilog10(b)+1;

  if s = n then count:= count+1

  else

    if count = 5 then A[n]:= 1 else A[n]:= 0 fi;

    count:= 1; n:= s

  fi

od:

seq(A[i], i=1..100); # Robert Israel, Dec 17 2018

CROSSREFS

Cf. A050815, A060384, A000045.

Sequence in context: A144610 A188068 A181632 * A332814 A285418 A068717

Adjacent sequences:  A105562 A105563 A105564 * A105566 A105567 A105568

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Apr 14 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 7 06:02 EDT 2020. Contains 336274 sequences. (Running on oeis4.)