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 A007718 #18 Jan 15 2023 19:49:25
%S A007718 1,1,3,6,17,40,125,354,1159,3774,13113,46426,171027,644038,2493848,
%T A007718 9867688,39922991,164747459,693093407,2968918400,12940917244,
%U A007718 57353242370,258306634422,1181572250326,5486982683756,25856584485254
%N A007718 Number of independent polynomial invariants of matrix of order n.
%C A007718 Also the number of non-isomorphic connected multiset partitions of weight n. The weight of a multiset partition is the sum of sizes of its parts. Weight is generally not the same as number of vertices. - _Gus Wiseman_, Sep 23 2018
%H A007718 Andrew Howroyd, <a href="/A007718/b007718.txt">Table of n, a(n) for n = 0..50</a>
%F A007718 Inverse Euler transform of A007716.
%e A007718 From _Gus Wiseman_, Sep 24 2018: (Start)
%e A007718 Non-isomorphic representatives of the a(1) = 1 through a(4) = 17 connected multiset partitions:
%e A007718 {{1}} {{1,1}} {{1,1,1}} {{1,1,1,1}}
%e A007718 {{1,2}} {{1,2,2}} {{1,1,2,2}}
%e A007718 {{1},{1}} {{1,2,3}} {{1,2,2,2}}
%e A007718 {{1},{1,1}} {{1,2,3,3}}
%e A007718 {{2},{1,2}} {{1,2,3,4}}
%e A007718 {{1},{1},{1}} {{1},{1,1,1}}
%e A007718 {{1},{1,2,2}}
%e A007718 {{2},{1,2,2}}
%e A007718 {{3},{1,2,3}}
%e A007718 {{1,1},{1,1}}
%e A007718 {{1,2},{1,2}}
%e A007718 {{1,2},{2,2}}
%e A007718 {{1,3},{2,3}}
%e A007718 {{1},{1},{1,1}}
%e A007718 {{1},{2},{1,2}}
%e A007718 {{2},{2},{1,2}}
%e A007718 {{1},{1},{1},{1}}
%e A007718 (End)
%Y A007718 Cf. A007716, A007718, A056156, A319557, A319565, A319566.
%K A007718 nonn
%O A007718 0,3
%A A007718 _Colin Mallows_
%E A007718 a(7)-a(25) from _Franklin T. Adams-Watters_, Jun 21 2011
%E A007718 a(0)=1 prepended by _Andrew Howroyd_, Jan 15 2023