A014243 a(n) = ((n+1)-st Lucas number) - (n-th non-Lucas number).

-2, -2, -1, 2, 8, 17, 34, 62, 108, 183, 305, 502, 823, 1343, 2185, 3548, 5754, 9324, 15101, 24449, 39575, 64049, 103651, 167729, 271410, 439170, 710612, 1149815, 1860461, 3010311, 4870808, 7881156

Offset: 1

Author

Clark Kimberling

Keywords

• sign

Examples

			For example, a(5) = A000032(6) - A057854(5) = 18-10 = 8.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000032, A057854.

Programs

Mathematica

b:= Complement[Range[1, 100], LucasL[Range[20]]]; Table[LucasL[n+1] - b[[n+1]], {n,1,40}] (* G. C. Greubel, Jun 19 2019 *)

Formula

a(n) = A000032(n+1) - A057854(n) for n >= 1. - Michel Marcus, May 28 2019

Extensions

Edited by N. J. A. Sloane, May 28 2019