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A022801 n-th Lucas number (A000204(n)) + n-th non-Lucas number (A090946(n+1)). 3

%I #21 May 28 2019 12:11:24

%S 3,8,10,15,20,28,41,60,90,138,215,339,540,863,1385,2229,3594,5802,

%T 9374,15153,24503,39631,64109,103713,167793,271476,439238,710682,

%U 1149887,1860535,3010387,4870886,7881236,12752084,20633281,33385325,54018565

%N n-th Lucas number (A000204(n)) + n-th non-Lucas number (A090946(n+1)).

%F a(n) = A000204(n) + A090946(n + 1). - _Sean A. Irvine_, May 21 2019

%p with(combinat): lucas:= n->fibonacci(n+1)+fibonacci(n-1): n:=1: for k from 1 to 7 do for nonlucas from lucas(k)+1 to lucas(k+1)-1 do printf("%d, ",nonlucas+lucas(n)) :n:=n+1 od od: # C. Ronaldo (aga_new_ac(AT)hotmail.com)

%t Module[{nn=40,luc,nluc},luc=LucasL[Range[nn]];nluc=Complement[Range[ Last[ luc]],luc];Total/@Thread[{luc,Take[nluc,Length[luc]]}]] (* _Harvey P. Dale_, May 02 2019 *)

%K nonn,easy

%O 1,1

%A _Clark Kimberling_

%E Thanks to Karima MOUSSAOUI (bouyao(AT)wanadoo.fr), who noticed that there were two versions of this sequence, differing at about the 22nd term, Feb 28 2004

%E More terms from _Emeric Deutsch_, Jan 14 2005

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Last modified August 11 03:32 EDT 2024. Contains 375059 sequences. (Running on oeis4.)