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 A349777 #60 Dec 19 2024 11:48:12
%S A349777 1,2,3,5,8,14,25,45,85,162,310,595,1107,2052,3515,5925,9798,16169,
%T A349777 23295,34303,53259,72215,112624,153552,198523,283570,370114,497383,
%U A349777 700022,840817,1145415,1398434,1717972,2279969,2819186,3436864,4299205,5239007,6335442,7650495,9219214
%N A349777 Lexicographically first sequence of positive integers such that all disjoint equivalent sets of K terms have distinct sums for 1 <= K <= 4.
%H A349777 Gleb Ivanov, <a href="/A349777/a349777_1.py.txt">Python program</a>.
%t A349777 a={};k=1;Do[While[(t=1;While[t<=4&&DuplicateFreeQ[Total/@Subsets[Join[a,{k}],{t}]],t++];t)<=4,k++];AppendTo[a,k];Print@k,30] (* _Giorgos Kalogeropoulos_, Dec 02 2021 *)
%o A349777 (Python) # See links.
%Y A349777 Cf. A011185 (k=1..2), A036241 (k=1..3).
%Y A349777 A005318 and A276661 are similar sequences.
%K A349777 nonn
%O A349777 1,2
%A A349777 _Santanu Banerjee_, Nov 29 2021
%E A349777 a(13)-a(26) from _Alois P. Heinz_, Dec 01 2021
%E A349777 a(27)-a(41) from _Gleb Ivanov_, Dec 02 2021