A142584 - OEIS

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

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OFFSET

1,1

LINKS

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

FORMULA

a(n) = Lucas(n+1) - (1/2)*(1 + (-1)^((n+2) mod 3)). - 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 *)

PROG

(Magma) [Lucas(n+1) - (1/2)*(1 + (-1)^((n+2) mod 3)): n in [1..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

CROSSREFS

Cf. A000032, A014217, A115360.

Sequence in context: A321403 A340311 A025052 * A098197 A358443 A175941

Adjacent sequences: A142581 A142582 A142583 * A142585 A142586 A142587

KEYWORD

nonn

AUTHOR

Paul Curtz, Sep 21 2008

EXTENSIONS

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

More terms from Daniel Suteu, Nov 24 2019

STATUS

approved