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 A318717 #15 Dec 24 2020 09:15:42
%S A318717 1,1,1,1,1,1,2,1,2,2,3,1,5,1,5,4,6,1,10,1,11,6,12,1,19,3,18,8,23,1,36,
%T A318717 2,32,13,38,7,57,2,54,19,68,3,95,3,90,33,104,3,148,7,149,40,166,5,230,
%U A318717 17,226,56,256,6,360,9,340,84,390,25,527,11,513,109
%N A318717 Number of strict integer partitions of n in which no two parts are relatively prime.
%H A318717 Fausto A. C. Cariboni, <a href="/A318717/b318717.txt">Table of n, a(n) for n = 0..600</a>
%e A318717 The a(20) = 11 partitions:
%e A318717 (20),
%e A318717 (12,8), (14,6), (15,5), (16,4), (18,2),
%e A318717 (10,6,4), (10,8,2), (12,6,2), (14,4,2),
%e A318717 (8,6,4,2).
%t A318717 Table[Length[Select[IntegerPartitions[n],And[UnsameQ@@#,And@@(GCD[##]>1&)@@@Select[Tuples[#,2],Less@@#&]]&]],{n,30}]
%Y A318717 Cf. A000009, A007359, A007360, A051185, A302569, A302797, A303140, A303280, A303283, A305713, A305843, A305854, A305713, A318715, A318719.
%K A318717 nonn
%O A318717 0,7
%A A318717 _Gus Wiseman_, Sep 02 2018
%E A318717 a(51)-a(69) from _Alois P. Heinz_, Sep 02 2018