login
A291673
Padovan numbers that are also Fibonacci numbers.
2
0, 1, 2, 3, 5, 21
OFFSET
1,3
COMMENTS
Common terms of A000931 and A000045.
Cited from Ian Stewart's article "Tales of a Neglected Number": "Some numbers, such as 3, 5 and 21, are both Fibonacci and Padovan. Are there others?"
In the b-files provided for both sequences, no further matches are found.
No other terms < 10^(10^5). - Chai Wah Wu, Aug 29 2017
LINKS
Ian Stewart, Tales of a Neglected Number, Mathematical Recreations, Scientific American, June 1996.
Ian Stewart, Die unscheinbare Schwester der goldenen Zahl, Spektrum der Wissenschaft, Dossier 02/2003: Mathematische Unterhaltungen II, 55-57.
MATHEMATICA
With[{nn=100}, Join[{0}, Intersection[LinearRecurrence[{0, 1, 1}, {1, 1, 2}, nn], Fibonacci[Range[nn]]]]] (* Harvey P. Dale, Oct 09 2017 *)
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Hugo Pfoertner, Aug 29 2017
STATUS
approved