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A186503 Decimal expansion of the solution x to x^x = 13. 4
2, 6, 4, 1, 0, 6, 1, 9, 1, 6, 4, 8, 4, 3, 9, 5, 8, 0, 8, 4, 1, 1, 8, 3, 9, 0, 0, 4, 0, 6, 5, 7, 9, 1, 2, 5, 4, 9, 3, 0, 8, 7, 3, 2, 2, 4, 6, 0, 5, 9, 4, 9, 6, 6, 7, 7, 1, 5, 2, 7, 2, 7, 2, 4, 0, 4, 8, 1, 8, 9, 5, 4, 6, 4, 0, 1, 5, 3, 1, 0, 4, 1, 9, 9, 5, 1, 3, 5, 4, 0, 2, 1, 3, 5, 2, 8, 2, 8, 7, 4, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..102.

FORMULA

Equals log(13)/LambertW(log(13)). - Alois P. Heinz, Jun 16 2021

EXAMPLE

2.6410619164843958084118390040657912549308732...

MATHEMATICA

x=13; RealDigits[Log[x]/ProductLog[Log[x]], 10, 103][[1]]

CROSSREFS

Cf. A016636, A030798, A173158, A000038, A173159, A173160, A173161, A173162, A173163, A090625, A186501, A186502, A186504, A344930, A093590.

Sequence in context: A247493 A076393 A054674 * A213654 A213664 A059574

Adjacent sequences:  A186500 A186501 A186502 * A186504 A186505 A186506

KEYWORD

nonn,cons

AUTHOR

Vladimir Joseph Stephan Orlovsky, Feb 22 2011

STATUS

approved

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Last modified August 5 14:14 EDT 2021. Contains 346469 sequences. (Running on oeis4.)