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a(n) = least number greater than a(n-1) not the sum of an earlier pair of consecutive terms, a(0) = 3.
3

%I #9 Mar 29 2017 08:53:54

%S 3,4,5,6,8,10,12,13,15,16,17,19,20,21,23,24,26,27,29,30,32,34,35,37,

%T 38,40,42,43,45,46,48,49,51,52,54,55,57,58,60,61,63,64,65,67,68,70,71,

%U 73,74,76,77,79,80,81,83,84,86,87,89,90,92,93,95,96,98,99,101,102,104,105

%N a(n) = least number greater than a(n-1) not the sum of an earlier pair of consecutive terms, a(0) = 3.

%H Ivan Neretin, <a href="/A055563/b055563.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = A022424(n) - a(n-1) for n > 0.

%e a(3) = 6 because a(2) = 5, 6 <> a(0) + a(1) and 6 <> a(1) + a(2);

%e a(4) = 8 because a(3) = 6, 7 = a(0) + a(1), 8 <> a(0) + a(1), 8 <> a(1) + a(2) and 8 <> a(2) + a(3).

%Y Complement of A022424. See A001651 for a(0) = 1 and A055562 for a(0) = 2.

%K nonn

%O 0,1

%A _Henry Bottomley_, May 26 2000

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