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 A189359 #37 Aug 24 2023 05:15:40
%S A189359 0,1,3,8,23,76,293,1307,6642,37882
%N A189359 Number of homogeneous games for n players.
%H A189359 I. Krohn and P. Sudhölter, <a href="https://doi.org/10.1007/BF01415753">Directed and weighted majority games</a>, Mathematical Methods of Operation Research, 42, 2 (1995), 189-216. See Table 1, p. 213; also on <a href="https://www.researchgate.net/publication/226788682_Directed_and_weighted_majority_games">ResearchGate</a>.
%H A189359 P. Sudhölter, <a href="https://doi.org/10.1007/BF01358803">Homogeneous games as anti step functions</a>, International Journal of Game Theory Vol. 18, (1989), 433-469.
%F A189359 Conjecture: g.f.: Q(0)*x/(1-x), where Q(k) = 1 + (1-(1-x)^(2*k+2))/(1- (1-(1-x)^(2*k+3))/(1-(1-x)^(2*k+3) + 1/Q(k+1))); (continued fraction). - _Sergei N. Gladkovskii_, May 13 2013
%F A189359 Note that a(n) - a(n-1) = A022493(n) for 1 <= n <= 9. Does this equality hold for n > 9? If so, then we have the g.f. 1/(1 - x)*( Sum_{n >= 1} Product_{k = 1..n} (1 - (1 - x)^k) ). - _Peter Bala_, Dec 13 2021
%Y A189359 Subclass of A000617. Cf. A001532, A022493, A109456, A132183.
%K A189359 nonn,hard,more
%O A189359 0,3
%A A189359 _Fabián Riquelme_, Apr 20 2011