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 A300120 #7 May 24 2018 16:04:30
%S A300120 2,6,12,26,44,86,136,239,376,613,930,1485,2194,3355,4948,7372,10656,
%T A300120 15660,22359,32308
%N A300120 Number of skew partitions whose quotient diagram is connected and whose numerator has weight n.
%C A300120 The diagram of a connected skew partition is required to be connected as a polyomino but can have empty rows or columns.
%e A300120 The a(3) = 12 skew partitions:
%e A300120 (3)/() (3)/(1) (3)/(2) (3)/(3)
%e A300120 (21)/() (21)/(11) (21)/(2) (21)/(21)
%e A300120 (111)/() (111)/(1) (111)/(11) (111)/(111)
%t A300120 undcon[y_]:=Select[Tuples[Range[0,#]&/@y],Function[v,GreaterEqual@@v&&With[{r=Select[Range[Length[y]],y[[#]]=!=v[[#]]&]},Or[Length[r]<=1,And@@Table[v[[i]]<y[[i+1]],{i,Range[Min@@r,Max@@r-1]}]]]]];
%t A300120 Table[Total[Length/@undcon/@IntegerPartitions[n]],{n,10}]
%Y A300120 Cf. A000085, A000898, A006958, A138178, A238690, A259479, A259480, A297388, A299925, A299926, A300118, A300122, A300123, A300124.
%K A300120 nonn,more
%O A300120 1,1
%A A300120 _Gus Wiseman_, Feb 25 2018