Cut the Cards
07-31-2020, 12:24 AM (This post was last modified: 07-31-2020 12:51 AM by John Keith.)
Post: #5
 John Keith Senior Member Posts: 764 Joined: Dec 2013
RE: Cut the Cards
(07-30-2020 09:49 PM)Jim Horn Wrote:  So, it approaches x*(ln(x)+0.57721), where the latter constant is the Euler-Mascheroni constant.

Or in other words, n*H(n), where H(n) is the nth harmonic number. (Albert's first formula in post #2)

(07-30-2020 09:49 PM)Jim Horn Wrote:  This isn't as accurate as doing it analytically but is good for fast calculations.

Actually it is very accurate as the first image in the Wikipedia link shows: LN(n)+gamma is the asymptotic limit of H(n) as n approaches infinity.
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 Messages In This Thread Cut the Cards - David Hayden - 07-30-2020, 08:00 PM RE: Cut the Cards - Albert Chan - 07-30-2020, 08:58 PM RE: Cut the Cards - Albert Chan - 08-21-2020, 11:00 PM RE: Cut the Cards - Jim Horn - 07-30-2020, 09:49 PM RE: Cut the Cards - John Keith - 07-31-2020 12:24 AM RE: Cut the Cards - Gerson W. Barbosa - 08-24-2020, 01:57 PM RE: Cut the Cards - Albert Chan - 08-25-2020, 06:14 PM RE: Cut the Cards - Albert Chan - 07-30-2020, 10:21 PM RE: Cut the Cards - pinkman - 08-24-2020, 09:49 PM RE: Cut the Cards - Gerson W. Barbosa - 08-25-2020, 11:41 PM RE: Cut the Cards - Albert Chan - 08-26-2020, 03:06 AM RE: Cut the Cards - Gerson W. Barbosa - 08-26-2020, 08:23 AM RE: Cut the Cards - Albert Chan - 08-26-2020, 02:13 PM RE: Cut the Cards - Gerson W. Barbosa - 08-26-2020, 06:13 PM RE: Cut the Cards - Gerson W. Barbosa - 08-27-2020, 10:07 PM RE: Cut the Cards - Albert Chan - 08-28-2020, 09:26 PM RE: Cut the Cards - Albert Chan - 08-29-2020, 04:02 PM RE: Cut the Cards - Gerson W. Barbosa - 08-28-2020, 11:39 PM RE: Cut the Cards - Albert Chan - 06-23-2021, 12:08 AM

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