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!)
 A264785 Decimal expansion of largest x such that x^2 = Gamma(x). 2
 5, 0, 3, 6, 7, 2, 2, 5, 7, 0, 5, 8, 8, 7, 1, 1, 0, 9, 5, 1, 6, 9, 1, 7, 8, 9, 6, 3, 7, 4, 5, 4, 4, 8, 0, 1, 0, 1, 2, 9, 5, 9, 6, 2, 9, 5, 4, 7, 1, 3, 3, 5, 7, 0, 8, 3, 8, 2, 8, 0, 7, 7, 0, 2, 4, 9, 4, 4, 0, 5, 5, 8, 0, 9, 6, 7, 2, 2, 6, 7, 7, 7, 3, 2, 9, 9, 9, 4, 5, 2, 7, 5, 6, 7, 8, 3, 2, 5, 1, 9, 9, 0, 8, 1, 7, 5, 6, 3, 3, 8, 9, 1, 4, 0, 3, 4, 2, 0, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Also, largest x such that Gamma(x+1) = x^3. In other words, the largest number whose cube and factorial coincide. The equation Gamma(x) = x^2 has also negative solutions, one for each negative integer, increasingly closer to these integers: x[1] = -1.5259..., x[2] = -1.806544..., x[3] = -3.017901..., x[4] = -3.997382..., x[5] = -5.000333... etc. The distances from the integers show an interesting pattern, see A339167. - M. F. Hasler, Nov 25 2020 LINKS EXAMPLE 5.03672257058871109516917896... MATHEMATICA RealDigits[x /. FindRoot[Gamma[x] - x^2, {x, 5}, WorkingPrecision -> 120], 10, 100][[1]] (* Amiram Eldar, May 28 2021 *) PROG (PARI) solve(x=5, 6, gamma(x+1)-x^3) (PARI) solve(x=5, 6, gamma(x)-x^2) CROSSREFS Cf. A218802, A339161, A339167. Sequence in context: A161485 A326054 A062526 * A197573 A019947 A193182 Adjacent sequences:  A264782 A264783 A264784 * A264786 A264787 A264788 KEYWORD nonn,cons AUTHOR Franklin T. Adams-Watters, Nov 24 2015 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 June 14 17:31 EDT 2021. Contains 345037 sequences. (Running on oeis4.)