A246770 - OEIS

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

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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