1,3

Alekseyev proved that the only numbers which are both Fibonacci A000045 and Pell A000129 are 0, 1, 2, and 5.

Table of n, a(n) for n=1..4.

Max A. Alekseyev (2011) On the Intersections of Fibonacci, Pell, and Lucas Numbers, INTEGERS 11(3), pp. 239-259. doi:10.1515/INTEG.2011.021

A000045 intersect A000129 (as sets)

{0, 1, 1, 2, 3, 5, 8, 13, ...} intersect {0, 1, 2, 5, 12, 29, 70, 169, ...} = {0, 1, 2, 5}.

Cf. A000045, A000129, A180928.

Sequence in context: A138852 A062701 A252783 * A020821 A020773 A249422

Adjacent sequences: A192222 A192223 A192224 * A192226 A192227 A192228

nonn,fini,full

Jonathan Sondow, Jul 11 2011

approved