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A045504 Palindromic Fibonacci numbers. +0
2
0, 1, 1, 2, 3, 5, 8, 55 (list; graph; listen)
OFFSET

1,4

COMMENT

Indices of the palindromic Fibonacci numbers are 0,1,2,3,4,5,6,10. - Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 29 2007.

Probably 55 is the last term. No further terms up to F(200000). - Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 29 2007.

Also, 0,1,1,2,3,5,8,55 are the only Fibonacci numbers containing a single digit.

REFERENCES

F. Luca (2000) Fibonacci and Lucas numbers with only one distinct digit. Portugal. Math. 57 (2), 243-254.

EXAMPLE

55 is the 10th Fibonacci number and it is also palindromic in base 10.

MATHEMATICA

fQ[n_] := Block[{id = IntegerDigits@ Fibonacci@ n}, id == Reverse@ id]; lst = {}; Do[ If[ fQ@n, AppendTo[lst, n]], {n, 0, 1000}]; Fibonacci /@ lst (* Robert G. Wilson v *)

CROSSREFS

Sequence in context: A061249 A042237 A042937 this_sequence A068500 A042667 A120495

Adjacent sequences: A045501 A045502 A045503 this_sequence A045505 A045506 A045507

KEYWORD

nonn,base,more

AUTHOR

Jeff Burch (gburch(AT)erols.com)

EXTENSIONS

Edited by Max Alekseyev (maxale(AT)gmail.com), Oct 09 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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