A214975 Numbers k for which A116543(k) < A007895(k); i.e., the Lucas representation of k is shorter than the Zeckendorf representation.

4, 7, 11, 12, 18, 19, 20, 25, 29, 30, 31, 32, 33, 40, 47, 48, 49, 50, 51, 53, 54, 65, 67, 72, 76, 77, 78, 79, 80, 82, 83, 85, 86, 87, 88, 101, 105, 106, 108, 109, 116, 123, 124, 125, 126, 127, 129, 130, 132, 133, 134, 135, 137, 138, 140, 141, 142, 143, 156

Offset: 1

Author

Clark Kimberling, Oct 20 2012

Keywords

• nonn

Examples

			k...Lucas.....Zeckendorf....counter
1...1.........1
2...2.........2
3...3.........3
4...4.........3+1...........a(1) = 4
5...4+1.......5
6...4+2.......5+1
7...7.........5+2...........a(2) = 7
8...7+1.......8
9...7+2.......8+1
		

Links

• Clark Kimberling, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A116543, A007895, A214974, A214976.

Programs

Mathematica

(See A214974.)