%I #7 May 18 2022 10:05:50
%S 3,4,6,7,10,11,17,24,41,58,99,116,140,239,280,338,577,816,1393,1970,
%T 3363,3940,4756,8119,9512,11482,19601,27720,47321,66922,114243,133844,
%U 161564,275807,323128,390050,665857,941664,1607521,2273378,3880899,4546756,5488420
%N Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a positive Pell number (A000129).
%C The sequence is well defined:
%C - a(1) = 3,
%C - for n > 0, let k be such that A000129(k) + 1 + a(1) + ... + a(n) < A000129(k+1),
%C - then a(n+1) <= A000129(k) + 1.
%H Rémy Sigrist, <a href="/A354005/a354005.txt">C++ program</a>
%o (C++) See Links section.
%Y See A353889 for similar sequences.
%Y Cf. A000129, A354006, A354007.
%K nonn
%O 1,1
%A _Rémy Sigrist_, May 13 2022