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A272891 Number of partitions of Lucas(n).

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%I A272891 #26 Sep 08 2022 08:46:16
%S A272891 2,1,3,5,15,56,385,4565,124754,9289091,2552338241,3646072432125,
%T A272891 42748078035954696,7274403582551733377346,
%U A272891 37285884524590579748861394570,14531841772646818920248481411605550560,1400135408797883233268006240578157606704308520406
%N A272891 Number of partitions of Lucas(n).
%H A272891 Seiichi Manyama, <a href="/A272891/b272891.txt">Table of n, a(n) for n = 0..24</a>
%F A272891 a(n) = A000041(A000032(n)).
%e A272891 a(4) = A000041(A000032(4)) = 15 because there are fifteen partitions of Lucas(4) = 7, namely: {7}, {6,1}, {5,2}, {5,1,1}, {4,3}, {4,2,1}, {4,1,1,1}, {3,3,1}, {3,2,2}, {3,2,1,1}, {3,1,1,1,1}, {2,2,2,1}, {2,2,1,1,1}, {2,1,1,1,1,1}, {1,1,1,1,1,1,1}.
%t A272891 Table[PartitionsP[LucasL[n]], {n, 0, 18}]
%o A272891 (Magma) [NumberOfPartitions(Lucas(n)): n in [0..18]];
%Y A272891 Cf. A000032, A000041, A072214, A100845.
%K A272891 nonn
%O A272891 0,1
%A A272891 _Vincenzo Librandi_, May 09 2016
%E A272891 Edited by _Bruno Berselli_, May 09 2016