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A062546 Decimal expansion of the 2nd Du Bois-Reymond constant.

%I A062546 #63 Feb 16 2025 08:32:45
%S A062546 1,9,4,5,2,8,0,4,9,4,6,5,3,2,5,1,1,3,6,1,5,2,1,3,7,3,0,2,8,7,5,0,3,9,
%T A062546 0,6,5,9,0,1,5,7,7,8,5,2,7,5,9,2,3,6,6,2,0,4,3,5,6,3,9,1,1,2,6,1,2,8,
%U A062546 6,8,9,8,0,3,9,5,2,8,8,8,1,6,9,2,1,5,6,2,4,2,5,3,9,5,6,0,8,9,7,3,8,6,8,7,6
%N A062546 Decimal expansion of the 2nd Du Bois-Reymond constant.
%D A062546 Steven R. Finch, Mathematical Constants, Cambridge, 2003, p. 238.
%D A062546 Francois Le Lionnais, Les nombres remarquables, Paris, Hermann, 1983, p. 23.
%H A062546 Vincenzo Librandi, <a href="/A062546/b062546.txt">Table of n, a(n) for n = 0..10000</a>
%H A062546 Simon Plouffe, <a href="http://www.plouffe.fr/simon/constants/dubois.txt">Du Bois-Reymond constant to 1024 digits</a>.
%H A062546 Simon Plouffe, <a href="https://web.archive.org/web/20080205202141/http://www.worldwideschool.org/library/books/sci/math/MiscellaneousMathematicalConstants/chap18.html">The Du Bois-Reymond constant to 1024 digits</a>.
%H A062546 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/duBois-ReymondConstants.html">du Bois-Reymond Constants</a>.
%F A062546 Equals (exp(2)-7)/2.
%F A062546 Continued fraction: [0, 5, 7, 9, 11, 13, ...]. - _Gerald McGarvey_, Oct 15 2005
%F A062546 Equals exp(1)*cosh(1) - 4 = BesselI(1/2, 1)/BesselI(3/2, 1) - 3. - _Terry D. Grant_, Jul 20 2018
%e A062546 0.194528049465325113...
%t A062546 RealDigits[(E^2 - 7)/2, 10, 105][[1]] (* _Jean-François Alcover_, Jun 12 2018 *)
%o A062546 (PARI) (exp(2)-7)/2 \\ _Stefano Spezia_, Dec 10 2024
%Y A062546 Cf. A062545, A224196 (c3), A207528 (c4), A243108 (c5), A245333 (c6).
%Y A062546 Cf. A073747 (has a similar continued fraction).
%K A062546 cons,easy,nonn
%O A062546 0,2
%A A062546 _Jason Earls_, Jun 26 2001