cp's OEIS Frontend

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.

A192225 Numbers that are both Fibonacci and Pell.

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%I A192225 #12 Jun 07 2025 15:35:12
%S A192225 0,1,2,5
%N A192225 Numbers that are both Fibonacci and Pell.
%C A192225 Alekseyev proved that the only numbers which are both Fibonacci A000045 and Pell A000129 are 0, 1, 2, and 5.
%H A192225 Max A. Alekseyev (2011) <a href="http://www.integers-ejcnt.org/vol11a.html">On the Intersections of Fibonacci, Pell, and Lucas Numbers</a>, INTEGERS 11(3), pp. 239-259. doi:<a href="http://dx.doi.org/10.1515/INTEG.2011.021">10.1515/INTEG.2011.021</a>.
%F A192225 A000045 intersect A000129 (as sets).
%e A192225 {0, 1, 1, 2, 3, 5, 8, 13, ...} intersect {0, 1, 2, 5, 12, 29, 70, 169, ...} = {0, 1, 2, 5}.
%Y A192225 Cf. A000045, A000129, A180928.
%K A192225 nonn,fini,full
%O A192225 1,3
%A A192225 _Jonathan Sondow_, Jul 11 2011