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List of numbers L and L + 1, where L = A000032, the Lucas numbers, sorted into increasing order and duplicates removed.
3

%I #7 Nov 22 2024 10:04:25

%S 1,2,3,4,5,7,8,11,12,18,19,29,30,47,48,76,77,123,124,199,200,322,323,

%T 521,522,843,844,1364,1365,2207,2208,3571,3572,5778,5779,9349,9350,

%U 15127,15128,24476,24477,39603,39604,64079,64080,103682,103683,167761,167762

%N List of numbers L and L + 1, where L = A000032, the Lucas numbers, sorted into increasing order and duplicates removed.

%H Clark Kimberling, <a href="/A259626/b259626.txt">Table of n, a(n) for n = 1..2000</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 2, 0, 0, 0, -1).

%F G.f.: -((-1 - 2 x - x^2 + x^4 + x^5 + x^6 + x^7 + x^8)/((-1 + x) (1 + x) (-1 + x^2 + x^4)))

%t Union[#, # + 1] &[LucasL[Range[50]]]

%Y Cf. A000032, A258085, A259623, A259624, A259625, A259627.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_ and _Peter J. C. Moses_, Jul 01 2015