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 A296625 #34 Nov 22 2018 12:18:29
%S A296625 1,2,6,16,42,106,268,660,1618,3922,9438,22540,53528,126358
%N A296625 a(n) is the total multiplicity of all products of Schur functions s(lambda)*s(lambda) with lambda a partition of n.
%C A296625 Diagonal of the matrix formed by products of all pairs of partitions.
%C A296625 Conjecture: a(n) is the number of domino tilings of diagrams of integer partitions of 2n. - _Gus Wiseman_, Feb 25 2018
%C A296625 The above conjecture is not true, see A304662. - _Alois P. Heinz_, May 22 2018
%F A296625 a(n) = A304662(n) for n < 7. - _Alois P. Heinz_, May 22 2018
%e A296625 for n=2,
%e A296625 s(2)*s(2) = s(4) + s(3,1) + s(2,2) and
%e A296625 s(1,1) * s(1,1) = s(2,2) + s(2,1,1) + s(1,1,1,1)
%e A296625 for 6 terms in total.
%t A296625 Table[Sum[Length[LRRule[\[Lambda], \[Lambda]]], {\[Lambda], Partitions[n]}], {n, 0, 7}];
%t A296625 (* Uses the Mathematica toolbox for Symmetric Functions from A296624. *)
%Y A296625 Cf. A296624, A296626, A304662.
%K A296625 nonn,hard,more
%O A296625 0,2
%A A296625 _Wouter Meeussen_, Dec 17 2017
%E A296625 a(13)-a(14) from _Wouter Meeussen_, Nov 22 2018