A192225 Numbers that are both Fibonacci and Pell.

0, 1, 2, 5

Offset: 1

Author

Jonathan Sondow, Jul 11 2011

Keywords

• nonn
• fini
• full

Comments

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

Examples

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

Links

• 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.

Crossrefs

Cf. A000045, A000129, A180928.

Formula

A000045 intersect A000129 (as sets).