

A089955


Number of embedded Fibonacci numbers within the nth Fibonacci number.


0



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, 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, 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
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OFFSET

1,7


LINKS

Table of n, a(n) for n=1..98.
Gil Broussard, The Embedded Fibonacci Sequence.


EXAMPLE

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.


MATHEMATICA

Table[Total[Table[SequenceCount[IntegerDigits[Fibonacci[n]], IntegerDigits[ Fibonacci[ i]]], {i, 2, n1}]], {n, 100}] (* The program uses the SequenceCount function from Mathematica version 10 *) (* Harvey P. Dale, Sep 05 2015 *)


CROSSREFS

Cf. A000045.
Sequence in context: A332278 A182596 A087775 * A180312 A178819 A046816
Adjacent sequences: A089952 A089953 A089954 * A089956 A089957 A089958


KEYWORD

nonn,base


AUTHOR

Gil Broussard, Jan 12 2004


STATUS

approved



