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A089955 Number of embedded Fibonacci numbers within the n-th Fibonacci number. 0

%I #5 Sep 05 2015 12:59:46

%S 0,0,0,0,0,0,2,2,1,2,1,1,3,1,1,1,2,3,3,1,1,3,3,2,3,7,3,5,4,3,5,5,5,4,

%T 3,5,5,4,4,10,7,3,4,4,7,7,7,3,2,7,5,6,8,6,9,9,7,7,5,8,6,8,7,8,6,8,10,

%U 8,3,7,10,6,10,8,9,6,8,7,12,11,9,11,7,8,11,7,11,10,6,9,8,9,13,11,7,13,14,11

%N Number of embedded Fibonacci numbers within the n-th Fibonacci number.

%H Gil Broussard, <a href="http://home.mindspring.com/~kikiriki/id0.html">The Embedded Fibonacci Sequence</a>.

%e a(26)=7 because Fib(26)=121393 and 7 Fibonacci numbers appear within 121393: 1 appears twice, 3 appears twice and 2, 13 and 21 each appear once.

%t Table[Total[Table[SequenceCount[IntegerDigits[Fibonacci[n]], IntegerDigits[ Fibonacci[ i]]],{i,2,n-1}]],{n,100}] (* The program uses the SequenceCount function from Mathematica version 10 *) (* _Harvey P. Dale_, Sep 05 2015 *)

%Y Cf. A000045.

%K nonn,base

%O 1,7

%A _Gil Broussard_, Jan 12 2004

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Last modified April 19 03:46 EDT 2024. Contains 371782 sequences. (Running on oeis4.)