A142584 a(n) = A014217(n+1) - A115360(n+2).

2, 4, 6, 10, 18, 28, 46, 76, 122, 198, 322, 520, 842, 1364, 2206, 3570, 5778, 9348, 15126, 24476, 39602, 64078, 103682, 167760, 271442, 439204, 710646, 1149850, 1860498, 3010348, 4870846, 7881196, 12752042, 20633238, 33385282, 54018520, 87403802, 141422324, 228826126

Offset: 1

Author

Paul Curtz, Sep 21 2008

Keywords

• nonn

Links

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

Crossrefs

Cf. A000032, A014217, A115360.

Programs

Magma

[Lucas(n+1) - (1/2)*(1 + (-1)^((n+2) mod 3)): n in [1..45]]; // G. C. Greubel, Apr 14 2021

Mathematica

Table[LucasL[n+1] - (1/2)*(1+(-1)^Mod[n+2, 3]), {n, 45}] (* G. C. Greubel, Apr 14 2021 *)

Sage

[lucas_number2(n+1,1,-1) - (1/2)*(1 + (-1)^((n+2)%3)) for n in (1..45)] # G. C. Greubel, Apr 14 2021

Formula

a(n) = Lucas(n+1) - (1/2)*(1 + (-1)^((n+2) mod 3)). - G. C. Greubel, Apr 14 2021

Extensions

Edited by Omar E. Pol and N. J. A. Sloane, Jan 06 2009

More terms from Daniel Suteu, Nov 24 2019