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a(n) = L(n+1) + c(n) where L(k) = k-th Lucas number and c(n) is n-th number that is 1 or not a Lucas number.
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%I #8 May 21 2019 22:02:25

%S 4,6,12,17,26,38,57,88,136,213,337,537,860,1383,2227,3592,5800,9372,

%T 15151,24501,39629,64106,103710,167791,271474,439236,710680,1149885,

%U 1860533,3010385,4870884,7881234,12752082,20633279,33385323,54018563,87403846

%N a(n) = L(n+1) + c(n) where L(k) = k-th Lucas number and c(n) is n-th number that is 1 or not a Lucas number.

%Y Cf. A000204, A022801, A090946.

%K nonn

%O 1,1

%A _Clark Kimberling_