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A300904
Decimal expansion of the positive solution to Pi^x = Pi + x.
1
1, 3, 0, 3, 1, 1, 4, 3, 6, 0, 5, 6, 4, 1, 4, 2, 8, 2, 2, 3, 7, 5, 6, 8, 0, 0, 4, 5, 7, 9, 5, 7, 1, 9, 3, 2, 2, 1, 9, 6, 4, 8, 8, 7, 9, 9, 2, 5, 3, 2, 8, 9, 7, 7, 0, 3, 8, 8, 0, 7, 6, 8, 4, 0, 0, 0, 6, 6, 2, 3, 6, 9, 5, 9, 7, 0, 7, 0, 5, 4, 2, 0, 6, 6, 7, 2, 5, 4, 0, 7, 4, 3, 6, 5, 7, 9, 4, 6, 8, 3, 3, 8, 5, 4, 9
OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function
Eric Weisstein's World of Mathematics, Pi
Wikipedia, Pi
FORMULA
Equals -(log(Pi)*Pi+LambertW(-1, -log(Pi)*exp(-log(Pi)*Pi)))/log(Pi).
EXAMPLE
1.30311436056414282237568004579571932219648879925328977038807684...
MAPLE
Digits:= 200:
evalf(-(log(Pi)*Pi+LambertW(-1, -log(Pi)*exp(-log(Pi)*Pi)))/log(Pi));
CROSSREFS
Sequence in context: A051171 A336118 A342639 * A307807 A350849 A318504
KEYWORD
nonn,cons
AUTHOR
Alois P. Heinz, Mar 14 2018
STATUS
approved