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 A322059 #17 Feb 10 2025 04:47:35 %S A322059 1,3,8,21,50,128 %N A322059 Expansion of generating function related to a certain class of combinatorial objects. %C A322059 For precise definition see Example 15.3.6 of Miklos Bona, editor, Handbook of Enumerative Combinatorics, CRC Press, 2015, pages 1001-1002. %C A322059 Apparently this has been computed by series inversion (INVERT transform) of the generating function x+2*x^2+3*x^3+4*x^4, which is not related to a Cyc. transformation (as claimed by Bona) (??) To obtain an interpretation from the Polya cycle index for the group of cyclic permutations, one would have to plug in the g.f. x+2*x^2+5*x^3+10*x^4+18*x^5+26*x^6+.. and it's difficult to associate this with any sort of marked linear chains of length up to 4 (because terms of x^5 and higher are needed). - _R. J. Mathar_, Feb 06 2025 %H A322059 N.Miklos Bona, editor, <a href="https://doi.org/10.1201/b18255">Handbook of Enumerative Combinatorics</a>, CRC Press, 2015, pages 1001-1002. %H A322059 Miklos Bona, editor, <a href="https://people.clas.ufl.edu/bona/files/errata.pdf">Handbook of Enumerative Combinatorics</a>, errata. %H A322059 N. J. A. Sloane, <a href="/A322059/a322059.jpg">Annotated scan of page 1001 of Bona (2015).</a> %H A322059 N. J. A. Sloane, <a href="/A322059/a322059_1.jpg">Annotated scan of page 1002 of Bona (2015).</a> %Y A322059 Cf. A322060, A380886 (column 4), A380890 (cycles of rooted chains), A032198 (cycles of directed linear chains), A002861 (cycles of rooted trees). %K A322059 nonn,more %O A322059 1,2 %A A322059 _N. J. A. Sloane_, Dec 25 2018