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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
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..100.

Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 46.

FORMULA

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

EXAMPLE

3.4049534663742829102092558938702379527369507252157450318757...

MATHEMATICA

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

CROSSREFS

Sequence in context: A351045 A267183 A021750 * A197809 A086230 A197485

Adjacent sequences:  A246767 A246768 A246769 * A246771 A246772 A246773

KEYWORD

nonn,cons,easy

AUTHOR

Jean-François Alcover, Sep 03 2014

STATUS

approved

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Last modified May 22 14:59 EDT 2022. Contains 353957 sequences. (Running on oeis4.)