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A100845 a(n) = L(P(n)), where P = A000041 (partition numbers) and L = A000032 (Lucas numbers). 2

%I #18 Sep 08 2022 08:45:15

%S 1,1,3,4,11,29,199,1364,39603,1860498,599074578,505019158607,

%T 12360848946698171,1281597540372340914251,

%U 16342986943522226847837781364,6050965600552329018623146299409643807,1888621362467059762119226660462223993033685748724

%N a(n) = L(P(n)), where P = A000041 (partition numbers) and L = A000032 (Lucas numbers).

%H Seiichi Manyama, <a href="/A100845/b100845.txt">Table of n, a(n) for n = 0..29</a>

%F a(n) = A000032(A000041(n)). - _David Wasserman_, Mar 04 2008

%e If n=4, L(P(4)) = 11.

%e If n=8, L(P(8)) = 39603.

%t Table[LucasL[PartitionsP[n]], {n, 0, 20}] (* _Vincenzo Librandi_, May 09 2016 *)

%o (Magma) [Lucas(NumberOfPartitions(n)): n in [0..20]]; // _Vincenzo Librandi_, May 09 2016

%K nonn

%O 0,3

%A _Parthasarathy Nambi_, Jan 07 2005

%E More terms from _David Wasserman_, Mar 04 2008

%E Edited and offset changed by _Bruno Berselli_, May 09 2016

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Last modified April 26 14:52 EDT 2024. Contains 372003 sequences. (Running on oeis4.)