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 A387262 #16 Aug 29 2025 16:13:30 %S A387262 3,7,11,4165,1925,521145625,1231278125,117192622421875,5225432428125, %T A387262 10634368774326171875,64913928515324560546875, %U A387262 6519012951936493553466796875,420117998909827688127861328125,217038092253876925088545128021240234375,27711032758513212360715995025634765625 %N A387262 a(n) is the denominator of the winning probability of the starting player to reach n points first in the game "Risk or Safety", assuming optimal play. %C A387262 For more details see A387260 and A387261. %e A387262 a(2) = 7: For n=2, the optimal strategy is never to stop, but always try to get two consecutive heads. The winning probability is 1/4*(1 + (3/4)^2 + (3/4)^4 + ...) = 4/7. %Y A387262 A387261 are the corresponding numerators. %Y A387262 Cf. A002411, A349697, A349698, A387260. %K A387262 nonn,frac,hard,new %O A387262 1,1 %A A387262 _Ruediger Jehn_, Aug 24 2025 %E A387262 More terms from _Jinyuan Wang_, Aug 29 2025