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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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Lambert W-Function

Eric Weisstein's World of Mathematics, Pi

Wikipedia, Lambert W function

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

Cf. A000796, A280722.

Sequence in context: A211868 A127372 A051171 * A307807 A318504 A318505

Adjacent sequences:  A300901 A300902 A300903 * A300905 A300906 A300907

KEYWORD

nonn,cons

AUTHOR

Alois P. Heinz, Mar 14 2018

STATUS

approved

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Last modified May 31 20:23 EDT 2020. Contains 334748 sequences. (Running on oeis4.)