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 A321334 #33 Dec 28 2018 23:25:42
%S A321334 2,3,4,5,6,7,8,12,13,16,36
%N A321334 n such that all n - s are squarefree numbers where s is a squarefree number in range n/2 <= s < n.
%C A321334 The following is a quotation from Hage-Hassan in his paper (see Link below). "The (concept of) right and left symmetry is fundamental in physics. This incites us to ask whether this symmetry is in (the) primes. Find the numbers n with a + a' = n. a, a' are primes and {a} are all the primes with: n/2 <= a < n and n = 2,3, ..."
%C A321334 This sequence is analogous to A320447. Instead of the sequence of primes it uses the sequence of squarefree numbers (A005117). It is conjectured that the sequence is finite and full.
%H A321334 Mehdi Hage-Hassan, <a href="https://hal.archives-ouvertes.fr/hal-00879586/document">An elementary introduction to Quantum mechanic</a>, hal-00879586 2013 pp 58.
%e A321334 a(10)=16, because the squarefree numbers s in the range 8 <= s < 16 are {10, 11, 13, 14, 15}. Also the complementary set {6, 5, 3, 2, 1} has all its members practical numbers. This is the 10th occurrence of such a number.
%t A321334 plst[n_] := Select[Range[Ceiling[n/2], n-1], SquareFreeQ]; lst={}; Do[If[plst[n]!={}&&AllTrue[n-plst[n], SquareFreeQ], AppendTo[lst, n]], {n, 1, 10000}]; lst
%Y A321334 Cf. A005117, A320447.
%K A321334 nonn,more
%O A321334 1,1
%A A321334 _Frank M Jackson_, Dec 18 2018