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Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a positive Pell number (A000129).
4

%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