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A226604
Decimal expansion of the maximum value reached by the function x-x^2+x^2 log(x) in the interval [0,1].
0
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
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OFFSET
0,4
COMMENTS
Equals (c-c^2)/2 where c =
A101314
.
LINKS
Table of n, a(n) for n=0..72.
EXAMPLE
0.1018160943972684375348232152630558119587523815313957473674364483728932...
MATHEMATICA
EE = -1/2/ ProductLog[-1, -1/2/Sqrt[E]]; RealDigits[N[(EE - EE^2)/2, 100]][[1]]
CROSSREFS
Cf.
A101314
.
Sequence in context:
A157289
A194097
A339260
*
A154213
A353920
A363923
Adjacent sequences:
A226601
A226602
A226603
*
A226605
A226606
A226607
KEYWORD
nonn
,
cons
AUTHOR
José María Grau Ribas
, Jun 13 2013
EXTENSIONS
Offset corrected by
Rick L. Shepherd
, Jan 01 2014
STATUS
approved
