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 A244293 #20 Feb 16 2025 08:33:22 %S A244293 6,6,7,2,5,3,8,2,2,7,2,3,1,3,2,8,4,9,3,5,3,5,8,2,4,8,0,5,9,1,8,8,4,4, %T A244293 6,4,8,3,7,5,6,8,4,6,8,9,7,3,6,7,1,8,9,8,3,6,8,5,0,1,8,0,2,4,1,5,4,1, %U A244293 8,6,4,8,5,5,3,9,0,4,1,5,7,7,0,9,7,9,7,3,9,9,6,5,5,5,6,9,3,6,9,5,3,2 %N A244293 Decimal expansion of 3/2 - gamma / log(2), a coin tossing constant related to the asymptotic evaluation of the expected length of the longest run of consecutive heads. %D A244293 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.11 Feller Coin Tossing Constants, p. 340. %H A244293 G. C. Greubel, <a href="/A244293/b244293.txt">Table of n, a(n) for n = 0..10000</a> %H A244293 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Run.html">Run</a>. %F A244293 Expected length ~ log(n)/log(2) - (3/2-gamma/log(2)). %e A244293 0.66725382272313284935358248... %t A244293 RealDigits[3/2 - EulerGamma/Log[2], 10, 102] // First %o A244293 (PARI) default(realprecision, 100); 3/2 - Euler/log(2) \\ _G. C. Greubel_, Oct 13 2018 %o A244293 (Magma) SetDefaultRealField(RealField(100)); R:=RealField(); 3/2 - EulerGamma(R)/Log(2); // _G. C. Greubel_, Oct 13 2018 %Y A244293 Cf. A086253, A086254, A143300 (gamma/log(2)). %K A244293 nonn,cons %O A244293 0,1 %A A244293 _Jean-François Alcover_, Jun 25 2014