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A243108 Decimal expansion of the 5th du Bois-Reymond constant. 8

%I #19 Feb 24 2023 04:41:55

%S 0,0,1,0,5,6,1,0,2,1,0,7,3,3,4,8,0,9,2,0,5,6,2,1,9,9,1,5,8,2,1,0,7,8,

%T 1,1,7,6,7,4,4,6,0,8,0,6,1,0,2,5,6,8,0,7,3,3,9,4,4,5,4,4,5,6,7,4,4,1,

%U 1,5,3,9,9,6,2,9,1,6,1,7,4,0,1,9,7,8,4,4,8,1,8,7,6,8,3,3,1,3,3,5,6,2,6,4,1,9

%N Decimal expansion of the 5th du Bois-Reymond constant.

%C The k-th Du Bois Reymond constant c_k is asymptotic to 2/(1+r^2)^(k/2), where r = A115365 = 4.4934094579090641753... is smallest positive root of the equation tan(r) = r. - _Vaclav Kotesovec_, Aug 20 2014

%D S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 237-239.

%H Vaclav Kotesovec, <a href="/A243108/b243108.txt">Table of n, a(n) for n = 0..450</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/duBois-ReymondConstants.html">du Bois-Reymond Constants</a>.

%e 0.00105610210733480920562199158210781176744608061...

%Y Cf. A062546 (c2), A224196 (c3), A207528 (c4), A245333 (c6).

%Y Cf. A115365, A079330, A088989.

%K nonn,cons

%O 0,5

%A _Vaclav Kotesovec_, Aug 19 2014

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)