This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A291673 #17 Oct 09 2017 12:36:07
%S A291673 0,1,2,3,5,21
%N A291673 Padovan numbers that are also Fibonacci numbers.
%C A291673 Common terms of A000931 and A000045.
%C A291673 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?"
%C A291673 In the b-files provided for both sequences, no further matches are found.
%C A291673 No other terms < 10^(10^5). - _Chai Wah Wu_, Aug 29 2017
%H A291673 Ian Stewart, <a href="http://web.archive.org/web/20120330094207/http://www.fortunecity.com/emachines/e11/86/padovan.html">Tales of a Neglected Number</a>, Mathematical Recreations, Scientific American, June 1996.
%H A291673 Ian Stewart, <a href="http://www.spektrum.de/magazin/die-unscheinbare-schwester-der-goldenen-zahl/824251">Die unscheinbare Schwester der goldenen Zahl</a>, Spektrum der Wissenschaft, Dossier 02/2003: Mathematische Unterhaltungen II, 55-57.
%t A291673 With[{nn=100},Join[{0},Intersection[LinearRecurrence[{0,1,1},{1,1,2},nn],Fibonacci[Range[nn]]]]] (* _Harvey P. Dale_, Oct 09 2017 *)
%Y A291673 Cf. A000045, A000931, A100891, A122498, A291216.
%K A291673 nonn,more
%O A291673 1,3
%A A291673 _Hugo Pfoertner_, Aug 29 2017