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a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).
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%I #3 Mar 30 2012 18:55:54

%S 1,3,13,18,42,57,112,137,245,282,488,562,947,1056,1752,1969,3234,3564,

%T 5822,6294,10245,11166,18135,19514,31647,33580,54413,58116,94119,

%U 99407,160936,171219,277135,292509,473393,494951,800957,842277,1362949,1422184

%N a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).

%K nonn

%O 1,2

%A _Clark Kimberling_