A014243 - OEIS

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

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OFFSET

1,1

LINKS

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

FORMULA

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

EXAMPLE

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

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 *)

CROSSREFS

Cf. A000032, A057854.

Sequence in context: A005007 A188792 A192395 * A366375 A366285 A364492

Adjacent sequences: A014240 A014241 A014242 * A014244 A014245 A014246

KEYWORD

sign

AUTHOR

Clark Kimberling

EXTENSIONS

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

STATUS

approved