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Number of compositions (ordered partitions) of n into distinct Lucas numbers (beginning with 1).
1

%I #5 Feb 02 2020 09:04:42

%S 1,1,0,1,3,2,0,3,8,0,2,9,8,0,8,32,6,0,9,32,0,8,38,30,0,32,150,0,6,33,

%T 32,0,32,158,30,0,38,174,0,30,176,150,0,150,870,24,0,33,152,0,32,182,

%U 150,0,158,894,0,30,182,174,0,174,1014,144,0,176,990,0,150,1014,864

%N Number of compositions (ordered partitions) of n into distinct Lucas numbers (beginning with 1).

%H <a href="/index/Com#comp">Index entries for sequences related to compositions</a>

%e a(7) = 3 because we have [7], [4, 3] and [3, 4].

%Y Cf. A000204, A003263, A054770 (positions of 0's), A067592, A067595, A218396, A288039.

%K nonn

%O 0,5

%A _Ilya Gutkovskiy_, Feb 01 2020