The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A030437 Decimal expansion of x such that x^x = Pi. 9
 1, 8, 5, 4, 1, 0, 5, 9, 6, 7, 9, 2, 1, 0, 2, 6, 4, 3, 2, 7, 4, 8, 3, 7, 0, 7, 1, 8, 4, 1, 0, 2, 9, 3, 2, 4, 5, 4, 2, 9, 2, 3, 2, 6, 7, 5, 0, 2, 7, 2, 6, 1, 9, 3, 0, 8, 4, 6, 9, 7, 5, 1, 0, 8, 4, 6, 8, 8, 0, 6, 2, 1, 2, 4, 8, 7, 3, 2, 6, 1, 6, 6, 5, 5, 9, 2, 4, 0, 3, 3, 6, 6, 1, 7, 0, 6, 8, 2, 4, 3, 8, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 EXAMPLE x = 1.8541059679210264327483707184102932454292... . MAPLE x^x=Pi; solve(%, x); evalf(%, 140); # solution is log(Pi)/LambertW(log(Pi)), where LambertW is the Omega function. MATHEMATICA x=Pi; RealDigits[Log[x]/ProductLog[Log[x]], 10, 6! ][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 11 2010 *) PROG (PARI) solve(x=1, 2, x^x-Pi) \\ Michel Marcus, Jan 14 2015 (PARI) exp(lambertw(log(Pi))) \\ Charles R Greathouse IV, Nov 11 2017 CROSSREFS Cf. A000796 (Pi), A100947 (continued fraction), A073243 (reciprocal). Sequence in context: A334502 A093341 A134973 * A200290 A273959 A010525 Adjacent sequences:  A030434 A030435 A030436 * A030438 A030439 A030440 KEYWORD nonn,cons AUTHOR James L. Dean (csvcjld(AT)nomvs.lsumc.edu) EXTENSIONS More terms from Simon Plouffe Better name from Jon E. Schoenfield, Dec 30 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 24 02:31 EDT 2021. Contains 346270 sequences. (Running on oeis4.)