A226604 Decimal expansion of the maximum value reached by the function x-x^2+x^2 log(x) in the interval [0,1].

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

Offset: 0

Author

José María Grau Ribas, Jun 13 2013

Keywords

• nonn
• cons

Comments

Equals (c-c^2)/2 where c = A101314.

Examples

			0.1018160943972684375348232152630558119587523815313957473674364483728932...
		

Crossrefs

Cf. A101314.

Programs

Mathematica

EE = -1/2/ ProductLog[-1, -1/2/Sqrt[E]]; RealDigits[N[(EE - EE^2)/2, 100]][[1]]

Extensions

Offset corrected by Rick L. Shepherd, Jan 01 2014