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A246770 Decimal expansion of 'beta', an auxiliary constant associated with the optimal stopping problem on patterns in random binary strings. 1

%I #10 Jan 17 2020 16:06:18

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

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

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

%N Decimal expansion of 'beta', an auxiliary constant associated with the optimal stopping problem on patterns in random binary strings.

%H Steven R. Finch, <a href="http://arxiv.org/abs/2001.00578">Errata and Addenda to Mathematical Constants.</a> p. 46.

%F Largest root of 45x^3 - 180x^2 + 90x + 4.

%e 3.4049534663742829102092558938702379527369507252157450318757...

%t beta = Root[45x^3 - 180x^2 + 90x + 4, x, 3]; RealDigits[beta, 10, 100] // First

%K nonn,cons,easy

%O 1,1

%A _Jean-François Alcover_, Sep 03 2014

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Last modified April 16 01:01 EDT 2024. Contains 371696 sequences. (Running on oeis4.)