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

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

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