A243398 Decimal expansion of the limiting length appearing in the asymptotic probability involved in the "stick breaking" problem.
1, 2, 6, 1, 0, 7, 0, 4, 8, 6, 8, 3, 0, 6, 7, 8, 9, 0, 5, 8, 3, 9, 6, 5, 5, 1, 4, 7, 9, 6, 2, 6, 1, 2, 8, 3, 1, 6, 3, 3, 8, 6, 5, 9, 6, 9, 6, 4, 4, 1, 6, 7, 3, 7, 8, 6, 9, 8, 5, 6, 2, 5, 8, 2, 0, 5, 5, 7, 6, 7, 2, 0, 3, 6, 1, 2, 8, 7, 5, 4, 2, 5, 4, 2, 2, 0, 3, 2, 1, 7, 6, 7, 0, 7, 2, 8, 9, 9, 7, 3
Offset: 1
Examples
1.26107048683067890583965514796261283...
References
- Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.13 Binary search tree constants, p. 352.
Crossrefs
Cf. A195596.
Programs
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Mathematica
c = -1/ProductLog[-1/(2*E)]; RealDigits[Exp[1/c], 10, 100] // First
Formula
exp(1/c), where c is A195596.