This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A353969 #10 May 18 2022 10:05:08 %S A353969 3,4,5,7,11,18,22,23,25,26,96,103,107,114,118,158,600,696,703,707,714, %T A353969 718,782,4320,4920,5016,5023,5027,5034,5038,5222,35280,39600,40200, %U A353969 40296,40303,40307,40314,40318,41222,322560,357840,362160,362760,362856,362863 %N A353969 Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a factorial number (A000142). %C A353969 The sequence is well defined: %C A353969 - a(1) = 3, %C A353969 - for n > 0, let k be such that A000142(k) + 1 + a(1) + ... + a(n) < A000142(k+1), %C A353969 - then a(n+1) <= A000142(k) + 1. %H A353969 Rémy Sigrist, <a href="/A353969/a353969.txt">C++ program</a> %o A353969 (C++) See Links section. %Y A353969 See A353889 for similar sequences. %Y A353969 Cf. A000142, A353970, A353971. %K A353969 nonn %O A353969 1,1 %A A353969 _Rémy Sigrist_, May 12 2022