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 A366166 #15 Oct 15 2023 16:29:56 %S A366166 4,5,5,9,7,9,4,4,9,9,9,5,9,8,4,5,8,1,5,4,8,1,7,3,6,4,8,4,5,5,7,2,4,8, %T A366166 1,1,7,6,3,6,7,4,2,3,8,0,1,6,6,1,4,0,5,6,3,5,0,5,1,8,3,8,7,6,5,4,7,2, %U A366166 1,1,5,9,5,9,3,5,5,7,0,4,4,9,2,3,2,4,8,7,9,6 %N A366166 Decimal expansion of sqrt(Pi)/(3*sqrt(3))*(Gamma(1/3)/Gamma(5/6))^3. %C A366166 This constant c occurs in the probability that the "big player" in a game with 3 gamblers goes broke first, although he starts with an initial capital of N-2 units, whereas the other two gamblers start with one unit each. This probability is ~ c/N^3. See Diaconis link for details. %H A366166 Paolo Xausa, <a href="/A366166/b366166.txt">Table of n, a(n) for n = 1..10000</a> %H A366166 Persi Diaconis, <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/diaconis23.pdf">Gambler's ruin with k gamblers</a> (slide 3), talk in the Rutgers Experimental Mathematics Seminar, <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/archive23.html">Fall 2023 Semester</a>, Oct. 12, 2023. %F A366166 Equals Gamma(1/3)^9 / (2*Pi)^4. - _Peter Luschny_, Oct 13 2023 %e A366166 4.5597944999598458154817364845572481176367423801661405635... %t A366166 First[RealDigits[Gamma[1/3]^9/(2Pi)^4,10,100]] (* _Paolo Xausa_, Oct 14 2023 *) %o A366166 (PARI) sqrt(Pi)/(3*sqrt(3))*(gamma(1/3)/gamma(5/6))^3 %Y A366166 Cf. A059231, A366566, A366567. %K A366166 nonn,cons %O A366166 1,1 %A A366166 _Hugo Pfoertner_, Oct 13 2023