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a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
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%I #6 Mar 30 2017 04:49:34

%S 1,4,6,7,11,14,18,21,23,27,29,32,35,37,41,44,47,50,53,56,59,63,65,69,

%T 72,75,78,81,83,87,89,93,95,99,101,105,107,111,113,117,119,122,125,

%U 128,131,134

%N a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.

%H Ivan Neretin, <a href="/A022436/b022436.txt">Table of n, a(n) for n = 0..10000</a>

%t Fold[Append[#1, Plus @@ Complement[Range[Max@#1 + 3], #1][[{#2, #2 + 2}]]] &, {1, 4, 6}, Range[43]] (* _Ivan Neretin_, Mar 30 2017 *)

%Y Cf. A022424 and references therein.

%K nonn

%O 0,2

%A _Clark Kimberling_